Question

How to do the following operations in 1CF and 2CF arithmetics; in binary. (a) Addition of...

How to do the following operations in 1CF and 2CF arithmetics; in binary.
(a) Addition of (+125) + (−37) in 1CF and 2CF arithmetics
(b) Subtraction of (−125) − (−37) in 1CF and 2CF arithmetics
show the operations, the operands, and the results in binary, and tell whether there is overflow or not for each operation

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Answer #1

(a) Addition of (+125) + (−37) in 1CF and 2CF arithmetics
Answer:-----------

By Using 1's complement :----------------

(+125)10 = (1111101)2
(−37)10 = (-0100101)2

(1111101)2 =======> 0 1111101
(-0100101)2   ======>  1 1011010 (taking 1's complement)
=================> 1 01010111
=================> ----------- +1 (carry)
=================> 0 1011000
=================> (+88)10

By Using 2's complement :----------------

(+125)10 = (1111101)2
(−37)10 = (-100101)2

(1111101)2 =======> 0 1111101
(-0100101)2   ======>  1 1011011 (taking 2's complement)
=================> 1 01011000
=================> 0 1011000 ( carry is discarded)
=================> (+88)10



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