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1)What is 2’s complement value of the decimal numbers 137 -67 2) Write the resul

ID: 3881049 • Letter: 1

Question

1)What is 2’s complement value of the decimal numbers

137

-67

2) Write the results of the following additions as both 8-bit binary and decimal numbers. For each part, use standard binary addition.

Add the signed magnitude representation of 7 to the signed magnitude representation

Add the 2’s complement representation of 7 to the 2’s complement representation of 7.

3)With out changing their values, convert the following 2’s complement binary numbers into 8-bit 2’s complement binary numbers.

a. 1010

1111111000

011001

01

Explanation / Answer

Question 1

a.137

137 = 10001001

1's complement of 10001001 = 01110110

Add 1 with the result (01110110) = 01110110 + 1 =01110111

b.-67

-67 = 11000011

1's complement of 1000011 = 10111100

Add 1 with the result (0111100) = 10111100 + 1 =10111101

Question 2

Addition of the following are as

01110111 + 10111101 = 10101010

Question 3

2’s complement binary numbers into 8-bit 2’s complement binary numbers.

a.1010 = 00001010

b.1111111000 = 11111000

c.011001 = 00011001

d.01 = 00000001