Question

If you were to perform binary addition on the numbers 73 and 58 in an 8...

If you were to perform binary addition on the numbers 73 and 58 in an 8 bit Two's Complement system, what number would you get?

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Answer #1

binary format for 73:- 01001001

one's complement for 73:- 10110110 (change one's to zero's and zero's to one's)

two's complement for 73:- 10110111 (add one to one's complement)

binary format for 58:- 00111010

one's complement for 58:- 11000101

two's complement for 58:-  11000110

adding 8 bit two's complement number's (73 and 58)

10110111

11000110

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1 01111101 (carry forwarded '1' is discarded)  

output generated is in 2's complement form. now, to get the actual output do the one's complement for the output and add '1'

one's complement of output:- 10000010

two's complement of output:- 10000011

so the number that represent's 10000011 :- 131

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