Question

Assume 151 and 214 are signed 8-bit decimal integers stored intwo’s complement format. Calculate 151 214 using saturating arithmetic. Th eresult should be written in decimal. Show your work.

Answer 1

Answer:

The result is -63

Explanation:

First, we discover the Binary value of 151 which is 10010111.

1 = most significant bit and it represents the sign as negative.

Two's compliment of 10010111, is calculated by adding 1 to one's compliment. We get 01101001 which is 105 in decimal.

Therefore the value of A (the first part) is -105.

Second, the binary value of 214 = 11010110.

1 = most significant bit and it represents the sign as negative.

Two's compliment of 11010110, is calculated by adding 1 to one's compliment. We get 00101010 which is 42 in decimal.

Therefore, the value of B (the second part) is -42.

Simplify further,

A - B = -105 - (-42)

        = -105 + 42

        =  -63

Therefore, the result is -63,