Fixed point (not floating-point) decimal multiplication is shown on left. Do the
ID: 3663580 • Letter: F
Question
Fixed point (not floating-point) decimal multiplication is shown on left. Do the same multiplication in binary. Show that the binary answer is same as decimal answer, i.e., when finished, convert binary to decimal. Show the 8-bit two's complement representation (if possible) for -35, 14, and 255. Floating-point conversion: Show the floating-point decimal value for the IEEE 754 binary32 hex representation 0xc0700000. Show the IEEE 754 binary32 hex representation for the floating-point decimal value -2.125.10^1.Explanation / Answer
1. 27.5 11011.1
x 3.25 11.01
------------------------------------------------
110111
000000
110111
110111
--------------------------------------------------
89.375 1011001.011
2. 2's compelement representation:
-35: -001000112 = 110111012
14: 000011102
255: Cannot be represented. The range of numbers that be represented with 8 bits is: -128 to 0 to 127.
3. 0xC0700000 = -3.7510 = 1100 0000 0111 0000 0000 0000 0000 00002.
-2.125 * 101= 0xc1AA000016 = 1100 0001 1010 1010 0000 0000 0000 00002
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