Perform the arithmetic operations (+42) + (-13) and (-42) - (-13) in binary using signed-2's complement representation for negative numbers.

Answer:

OPERATION 1

EXPLANATION:

BINARY REPRESENTATION OF 42 is 101010 (6 bit)

BINARY REPRESENTATION OF 13 is 001101(6 bit)

2's complement of 13 in 6 bit is

001101 converted to 110010(1's complement)

110010 + 1 = 110011

hence 2's complement of 13 in 6 bit is 110011.

if carry is 1 then the number is positive.

OPERATION 2 

EXPLANATION

2'S complement of 42 is calculated as

binary of 42 converted in 1's complement then 1 is added :

101010 converted to 010101 then after addition of 1 converted into 010110.

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