Using the 8bit 2s complement binary number system perform th

Using the 8-bit. 2\'s complement binary number system, perform the following addition and subtraction problems. Clearly indicate how you checked for an overflow condition and the result of that check. Using the 8-bit, Unsigned binary number system, perform the following addition and subtraction problems. Clearly Indicate how you checked for an overflow condition and the result of that check.

Solution

2.

10100010 (162₁₀)

+   01111001 (121₁₀)

100011011 (27₁₀)

In the above addition there is a carry of 1. As you have only 8 bits, 162 + 121 = 283 which requires a total of 9 bits cannot be stored here and an overflow occurs.

10100010 (162₁₀)

- 01111001 (-121₁₀)

Now converting 01111001 to 2\'s complement: 10000110 + 1 = 10000111. Now summation:

10100010

+ 10000111

= 100101001

In the above subtraction, there is a carry of 1, which can be ignored. And after ignoring the carry bit, the value is: 00101001 = 41₁₀.