Mumbai University > Computer Engineering > Sem4 > Computer Organization and Architecture

Marks: 3M

Year: May 14

1. Floating Point Representation:

This representation is shown in Figure 2.

Figure 2

S: This bit represents the sign of the number. 0 represents a positive number and 1 for negative number.

Exponent: 8 bit signed exponent in excess 127 representation.

Mantissa (M): 23 bit mantissa fraction.

Value represented= $(-1) ^5 \times 1.M \times 2^{Exponent-127}$

2. Double Precision Floating Point Representation:

Figure 3 represents the Double Precision Floating Point Representation:

Figure 3

S: This bit represents the sign of the number. 0 represents a positive number and 1 for negative number.

Exponent: 11 bit signed exponent in excess 1023 representation.

Mantissa(M): 52 bit mantissa fraction.

Value represented= $(-1)^5 \times 1.M \times 2^{Exponent-1023}$