Question

Complete the matrix below (use 4 bits)

Signed Integer	Signed Magnitude		1’s Complement	2’s Complement	Excess-7
5
-3

Answer 1

SOL:

1) Given signed integer = 5

signed magnitude representation :

The signed magnitude representation = 0101

we put 0 in the MSB because given number is a positive sign

0 indicates positive number

1's complement represntation:

The signed magnitude, 1's complement represntation and 2's complement represntation all are same for the positive number

Given number is 5 which is positive

so 1's complement representation = 0101

2's complement representation:

The signed magnitude, 1's complement represntation and 2's complement represntation all are same for the positive number

Given number is 5 which is positive

so 2's complement representation = 0101

Excess-7 :

To convert to Excess-7 code we need to add the7 to 5

7+5 =12

Binary equivalent of (12) = (1100)₂

So Excess -7 code is 1100 = (12)₁₀

2) Given signed integer = -3

signed magnitude representation:

The signed magnitude representation = 1011

we put 1 in the MSB because given number is negative

1's complement representation:

The given number is negative so signed magnitude,1's complement and 2's complement values will differ

For 1's complement we interchange 1's and 0's except the MSB which is a sign bit

so The 1's complement representation = 1100

2's complement representation:

he given number is negative so signed magnitude,1's complement and 2's complement values will differ

For 2's complement we will keep the number as it is untill we encounter first 1 after that we interchange 1's and 0's except the MSB which is a sign bit

so The 2's complement representation = 1101

Excess-7 code:

To convert to Excess-7 code we need to add the 7 to -3

so 7+(-3) = 4

Binary equivalent of 4 is (0100)₂

so Excess 7 code is 0100

signed integer	signed magnitude	1's complemet	2's complement	Excess-7
5	0101	0101	0101	1100
-3	1011	1100	1101	0100