document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189072>Question 1189072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9. Represent the following integer numbers<BR>\n" );
document.write( "a) 88 b) -123<BR>\n" );
document.write( "i) using 8-bit register using sign modulus<BR>\n" );
document.write( "ii) using 8-bit register using one’s complement<BR>\n" );
document.write( "iii) using 8-bit register using two’s complement.\r<BR>\n" );
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document.write( "10. What is the number represented by<BR>\n" );
document.write( "(i) 10011 (ii) 01010 (iii) 11011<BR>\n" );
document.write( "if the representation is<BR>\n" );
document.write( "a) sign-modulus b) one’s complement c) two’s complement\r<BR>\n" );
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document.write( "11. Use 8-bit registers to perform the following calculations<BR>\n" );
document.write( "(i) 24 + 68 (ii) 5  -  19 (iii) -13  -  7<BR>\n" );
document.write( "using the following representations<BR>\n" );
document.write( "a) sign-modulus b) one’s complement c) two’s complement\r<BR>\n" );
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document.write( "12. Represent the following in normalised binary exponential form using 8 bits mantissa and<BR>\n" );
document.write( "5 bits exponent.<BR>\n" );
document.write( "a)  -  13.375 b) 0.1875 c) 810.7 d) -32.30 e) 5.045\r<BR>\n" );
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document.write( "13. Perform the following floating-point addition using 8-bit mantissa and 5-bit exponent in<BR>\n" );
document.write( "binary exponential form:-<BR>\n" );
document.write( "a) 4.5 + 5.0 b) -12.25  -  10.5 c) 25  -  14.0<BR>\n" );
document.write( "d) 0.5 + 0.375 e) 0.2 + 0.0625 f) 0.9375  -  11.25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820307 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\"><BR>\n" );
document.write( "9.b).(iii)\r<BR>\n" );
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document.write( "Two's Complement, negative number.  Represent the absolute value, then flip all bits, then add 1:\r<BR>\n" );
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document.write( "-123\r<BR>\n" );
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document.write( "Absolute value representation:\r<BR>\n" );
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document.write( "123 = 1 X 64 + 1 X 32 + 1 X 16 + 1 X 8 + 0 X 4 + 1 X 2 + 1 X 1, so\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "        0 1 1 1 1 0 1 1\r\n" );
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document.write( "Flip all bits:\r<BR>\n" );
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document.write( "        1 0 0 0 0 1 0 0\r\n" );
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document.write( "Then add 1\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "        1 0 0 0 0 1 0 1\r\n" );
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document.write( "Check:  Absolute value representation plus negative number representation should sum to zero (discard final carry)\r<BR>\n" );
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document.write( "        1 0 0 0 0 1 0 1\r\n" );
document.write( "      + 0 1 1 1 1 0 1 1\r\n" );
document.write( "       ----------------\r\n" );
document.write( "        0 0 0 0 0 0 0 0       \r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Solver92311&illustration_name=darwinfish.jpg\">\r<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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