Question

Complete the subtraction 35 - 86 by using two's complement addition. Both numbers are to be...

Complete the subtraction 35 - 86 by using two's complement addition.

Both numbers are to be stored as 8 bit signed binary values.

Include all 8 bits of the result of the addition as your answer.

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Answer #1

35-86 using 8 bit 2's complement


35 = 00100011
86 = 01010110 =>Take 2's complement => 10101010(-86)

00100011
10101010
---------------
11001101
---------------

The MSB of the result is 1, indicating it is a negative result represented in signed 2's complement form.
11001101 = 00110010(1's complement) = 00110011(2's complement) = -51

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