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Compute 1111 11112 − 0000 00012 by hand. Treat all numbers as unsigned. Provide the 8-bit...

Compute 1111 11112 − 0000 00012 by hand. Treat all numbers as unsigned. Provide the 8-bit difference and indicate whether a borrow in occurred.

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Answer #1

The truth table for subtractor is

A B Difference Borrow

0 0 0 0

0 1 1 1

1 0 1 0

1 1 0 0

(1111 1111)2 - (0000 0001)2 = (1111 1110)2

I explained subtraction  of each bit from right side below because we perform subtraction from right side

1 - 1 = 0(difference), borrow is also 0

1 - 0 = 0(difference), borrow is also 0 and this repeats for remaining bits

Conclusion : Borrow occurs only when we subtract 1 from 0. Hence borrow never occurs from the subtraction of above two 8 bit binary numers.

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