# Appendixa - Appendix A Exercise Solutions EA.1 Assume all numbers are unsigned i.e positive(a 10010110002 = 29 26 24 23 = 512 64 16 8 = 60010(b

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Appendix A Exercise Solutions EA.1 Assume all numbers are unsigned, i.e., positive. (a) 1001011000 2 = 2 9 + 2 6 + 2 4 + 2 3 = 512 + 64 + 16 + 8 = 600 10 (b) 100011110 2 = 2 8 + 2 4 + 2 3 + 2 2 + 2 1 = 256 + 16 = 8 + 4 + 2 = 286 10 (c) 100000001 2 = 2 8 + 1 = 256 + 1 = 257 10 (d) 111111111 2 = 1000000000 2 - 1 = 2 9 - 1 = 512 -1 = 511 10 EA.2 (a) 2335 8 = 2 * 8 3 + 3 * 8 2 + 3 * 8 1 + 5 = 1245 10 (b) 167 8 = 1 * 8 2 + 6 * 8 1 + 7 = 64 + 48 + 7 = 119 10 (c) 4005.246 8 = 4 * 8 3 + 5 + 2 * 8 -1 + 4 * 8 -2 + 6 * 8 -3 = 2053.324219 10 (d) 625.575 8 = 6 * 8 2 + 2 * 8 1 + 5 + 5 * 8 -1 + 7 * 8 -2 + 5 * 8 -3 = 405.7441406 10 EA.3 Round the result to 7 fractional digits (a) 250 16 = 2 * 16 2 + 5 * 16 1 = 592 10 (b) 1200 16 = 1 * 16 3 + 2 * 16 2 = 4160 10 (c) 4AE0 16 = 4 * 16 3 + 10 * 16 2 + 14 * 16 1 = 19168 10 (d) FFFE.428 16 = 15 * 16 3 + 15 * 16 2 + 15 * 16 1 + 14 + 4 * 16 -1 + 2 * 16 -2 + 8 * 16 -3 = 65534.2597656 10 (e) 245.62B 16 = 2 * 16 2 + 4 * 16 1 + 5 + 6 * 16 -1 + 2 * 16 -2 + 11 * 16 -3 = 581.3854980

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## This note was uploaded on 09/12/2011 for the course EEL 4742 taught by Professor Weeks during the Spring '11 term at University of Central Florida.

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Appendixa - Appendix A Exercise Solutions EA.1 Assume all numbers are unsigned i.e positive(a 10010110002 = 29 26 24 23 = 512 64 16 8 = 60010(b

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