Question

5. (9 Points) Sign Magnitude Complete the following table. (Show the steps) Decimal Signed Magnitude (7-bits including sign) -17 -13 20 Two's Complement One's Complement (7-bits) (7-bits)

Answer 1

DECIMAL	SIGNED MAGNITUDE	TWO'S COMPLEMENT	ONE'S COMPLEMENT
-17	1010001	0101111	0101110
-13	1001101	0110011	0110010
20	0010100	1101100	1101011

In signed magnitude representation,MSB is considered as the sign bit .So

• -17 is represented as;

1

0

1

0

0

0

1

1's complement is obtained by toggling all the bits;

0

1

0

1

1

1

0

2's complement is obtained by adding 1 bit to the 1's complement;

ie,0101110+1

0

1

0

1

1

1

1

• -13 is represented as:

1

0

0

1

1

0

1

1's complement of (-13)

0

1

1

0

0

1

0

2's complement:

0110010+1

0

1

1

0

0

1

1

• 20 is represented in 7 bits as;

0

0

1

0

1

0

0

1's complement of (20);

1

1

0

1

0

1

1

2's complement of (20):

1101011+1

1

1

0

1

1

0

0