# There are many possible formats for floating point numbers. Consider the following 10-format where the sign ield

## Question:

There are many possible formats for floating point numbers. Consider the following 10-format

where the sign ield is one bit (1: negative, 0: positive), the exponent ield is 4 bits with an excess 8 number for the bias, and the fraction ield is a 5-bit normalized number (i.e., for all numbers except 0, the number is stored as 0.1xxxxx).

**(a) **What are the largest and smallest positive nonzero quantities for normalized numbers?

**(b) **Using this loating point format, what is the binary representation of decimal -5.675?

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**Related Book For**

## Logic And Computer Design Fundamentals

**ISBN:** 9780133760637

5th Edition

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