Sign And Magnitude Numbers

Sign and Magnitude

There are different ways to represent negative numbers in binary. One of which is sign and magnitude representation. This is very similar to unsigned, whole integers that we have looked at before. The difference this time is that the most significant bit becomes a sign bit. 0 means a positive number, 1 means a negative number.

Example:

+/-

64

32

16

8

4

2

1

0

0

0

1

0

1

1

0

= 22

+/-

64

32

16

8

4

2

1

1

0

0

1

0

1

1

0

= -22

+/-

64

32

16

8

4

2

1

0

1

1

0

1

0

1

0

= 106

+/-

64

32

16

8

4

2

1

1

1

1

0

1

0

1

0

= -106

Questions:
Convert the following numbers from denary to binary using sign and magnitude representation:

1. -93

2. 39

3. -78

4. -100

5. -18

Convert the following numbers from sign and magnitude representation to denary:

1. 1001 0001

2. 1011 1101

3. 1111 1111

4. 0100 0110

5. 1011 1001