# The IEEE standard double-precision floating-point operand format consists of 64 bits. The sign occupies 1 bit, the

## Question:

The IEEE standard double-precision floating-point operand format consists of 64 bits. The sign occupies 1 bit, the exponent has 11 bits, and the fraction occupies 52 bits. The exponent bias is 1023 and the base is 2. There is an implied bit to the left of the binary point in the fraction. Infinity is represented with a biased exponent equal to 2047 and a fraction of 0.

**(a) **Give the formula for finding the decimal value of a normalized number.

**(b) **List a few biased exponents in binary, as is done in Table 9-6.

**(c) **Calculate the largest and smallest positive normalized numbers that can be accommodated.

**Table 9-6**

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**Related Book For**

## Logic And Computer Design Fundamentals

**ISBN:** 9780133760637

5th Edition

**Authors:** M. Morris Mano, Charles Kime, Tom Martin