Question

1.The binary bit pattern 10011. Please give the number for this pattern represent in each of the following: ones complement integer, twos complement integer, unsigned integer, sign-magnitude integer, and fixed point factional number. (Please note that there will be two bits to the left of the binary points and three bits to the right)

Answer 1

Integer or Number representation in the computer system:

We can use three-way to represent a number in the computer system or binary system:

1. Signed Magnitude Representation
2. One's complement Representation
3. Two's complement Representation

In the computer system for a positive number, all representation has the same format but negative number representation is different.

By default, a negative number is stored in 2's complement form in the computer system.

a) Signed magnitude Representation

In Signed Magnitude Representation, the first bit is used as a sign bit and all other bits are used to store the data.

b) One's complement Representation

In one's complement representation, a positive number is stored as it is but a negative number is stored in one's complement form.

c) Two's complement Representation

In two's complement representation, a positive number is stored as it is but a negative number is stored in two's complement form.

The given binary number is:  10011

The number in ones complement integer is = -12

The number in ones complement integer is = -13

The value of the unsigned integer is = 19

The value in sign-magnitude integer is = -3

The value in the fixed-point fractional number is = 2.3