4 Use a 2s complement and b 1s complement arithmetic to perf

4. Use (a) 2s complement and (b) 1s complement arithmetic to perform the following operations:

1) 1011010 – 10101

2) 10101 - 1011010

Please show work! I am trying to understand.

1s complement.

1) 1011010 - 10101

solution:

A :1011010

B: 10101

We want to find A-B.

So lets find, 1s complement of B, which is : 01010

Now A + B= 1011010 + 01010 = 1100100.

2) A : 10101,B : 1011010

1s complement of B is 0100101

So, A+B will be : 0111010

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2s complement:

1) To find 2s complement of a binary digit, we first find 1s complement and then add 1 to it.

for, 1011010, 2s complement will be : 0100101 + 1 = 0100110

for,10101 : 01010 + 1 = 01011

so, A - B = 0000000

2) 2s complement for 10101 .e., 0010101 is 1101010 +1 = 1101011and for 1011010 is 0100110

So, 1101010 - 0100110 = 1000000