topic Binary format. What happens at W=61. in SAS Programming https://communities.sas.com/t5/SAS-Programming/Binary-format-What-happens-at-W-61/m-p/139967#M28226 <HTML><HEAD></HEAD><BODY><P>I don't have math or computer science training and I don't understand what happens at W=61.&nbsp; Or do I just have it all wrong?</P><P></P><P></P><DIV style="font-family: Courier New; font-size: 8pt;"><STRONG style="color: #008080; background-color: #ffffff;">27</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; data _null_;<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">28</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; length x $</SPAN><STRONG style="color: #008080; background-color: #ffffff;">64</STRONG>; <SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">29</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; a=</SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG>; <SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">30</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; do w=</SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;"> to </SPAN><STRONG style="color: #008080; background-color: #ffffff;">64</STRONG>; <SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">31</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; x=putn(a,</SPAN><SPAN style="color: #800080; background-color: #ffffff;">'binary'</SPAN><SPAN style="color: #000000; background-color: #ffffff;">,w);<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">32</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; put w </SPAN><STRONG style="color: #008080; background-color: #ffffff;">2.</STRONG><SPAN style="color: #000000; background-color: #ffffff;"> +</SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;"> x </SPAN><SPAN style="color: #008080; background-color: #ffffff;">$char64.</SPAN><SPAN style="color: #000000; background-color: #ffffff;">-r;<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">33</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; end;<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">34</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; run;<BR /></SPAN><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">2</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">01</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">3</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">4</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">5</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">6</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">7</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">8</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">9</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">10</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">11</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">12</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">13</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">14</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">15</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">16</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">17</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">18</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">19</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">20</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">21</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">22</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">23</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">24</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">25</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">26</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">27</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">28</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">29</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">30</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">31</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">32</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">33</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">34</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">35</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">36</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">37</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">38</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">39</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">40</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">41</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">42</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">43</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">44</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">45</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">46</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">47</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">48</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">49</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">50</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">51</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">52</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">53</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">54</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">55</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">56</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">57</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">58</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">59</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">60</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000000000000000000000000000000000000000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">61</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">1111111110000000000000000000000000000000000000000000000000000</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">62</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">11111111110000000000000000000000000000000000000000000000000000</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">63</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">011111111110000000000000000000000000000000000000000000000000000</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">64</STRONG> <STRONG style="color: #008080; background-color: #ffffff;">0011111111110000000000000000000000000000000000000000000000000000</STRONG></DIV></BODY></HTML> Tue, 11 Mar 2014 18:54:17 GMT data_null__ 2014-03-11T18:54:17Z Binary format. What happens at W=61. https://communities.sas.com/t5/SAS-Programming/Binary-format-What-happens-at-W-61/m-p/139967#M28226 <HTML><HEAD></HEAD><BODY><P>I don't have math or computer science training and I don't understand what happens at W=61.&nbsp; Or do I just have it all wrong?</P><P></P><P></P><DIV style="font-family: Courier New; font-size: 8pt;"><STRONG style="color: #008080; background-color: #ffffff;">27</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; data _null_;<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">28</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; length x $</SPAN><STRONG style="color: #008080; background-color: #ffffff;">64</STRONG>; <SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">29</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; a=</SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG>; <SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">30</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; do w=</SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;"> to </SPAN><STRONG style="color: #008080; background-color: #ffffff;">64</STRONG>; <SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">31</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; x=putn(a,</SPAN><SPAN style="color: #800080; background-color: #ffffff;">'binary'</SPAN><SPAN style="color: #000000; background-color: #ffffff;">,w);<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">32</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; put w </SPAN><STRONG style="color: #008080; background-color: #ffffff;">2.</STRONG><SPAN style="color: #000000; background-color: #ffffff;"> +</SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;"> x </SPAN><SPAN style="color: #008080; background-color: #ffffff;">$char64.</SPAN><SPAN style="color: #000000; background-color: #ffffff;">-r;<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">33</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; end;<BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">34</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; run;<BR /></SPAN><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">1</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">2</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">01</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">3</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">4</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">5</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">6</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">7</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">8</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /> </SPAN><STRONG style="color: #008080; background-color: #ffffff;">9</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">10</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">11</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">12</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">13</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">0000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">14</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">00000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">15</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">000000000000001</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">16</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 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background-color: #ffffff;">62</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp;&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">11111111110000000000000000000000000000000000000000000000000000</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">63</STRONG><SPAN style="color: #000000; background-color: #ffffff;">&nbsp; </SPAN><STRONG style="color: #008080; background-color: #ffffff;">011111111110000000000000000000000000000000000000000000000000000</STRONG><SPAN style="color: #000000; background-color: #ffffff;"><BR /></SPAN><STRONG style="color: #008080; background-color: #ffffff;">64</STRONG> <STRONG style="color: #008080; background-color: #ffffff;">0011111111110000000000000000000000000000000000000000000000000000</STRONG></DIV></BODY></HTML> Tue, 11 Mar 2014 18:54:17 GMT https://communities.sas.com/t5/SAS-Programming/Binary-format-What-happens-at-W-61/m-p/139967#M28226 data_null__ 2014-03-11T18:54:17Z Re: Binary format. What happens at W=61. https://communities.sas.com/t5/SAS-Programming/Binary-format-What-happens-at-W-61/m-p/139968#M28227 <HTML><HEAD></HEAD><BODY><P>You start displaying the exponent in addition to the mantissa of the floating point value.</P><P>Compare the result of </P><P>PUT A HEX16. ;</P><P></P><P>With the last row of your report.</P><P></P><P>3FF0000000000000</P></BODY></HTML> Tue, 11 Mar 2014 21:32:54 GMT https://communities.sas.com/t5/SAS-Programming/Binary-format-What-happens-at-W-61/m-p/139968#M28227 Tom 2014-03-11T21:32:54Z Re: Binary format. What happens at W=61. https://communities.sas.com/t5/SAS-Programming/Binary-format-What-happens-at-W-61/m-p/139969#M28228 <HTML><HEAD></HEAD><BODY><P>But why does it start to display the mantissa at row 61 instead of row 53?</P></BODY></HTML> Wed, 12 Mar 2014 11:35:55 GMT https://communities.sas.com/t5/SAS-Programming/Binary-format-What-happens-at-W-61/m-p/139969#M28228 Kurt_Bremser 2014-03-12T11:35:55Z