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

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

where the sign field is one bit (1: negative, 0: positive), the exponent field is 4 bits with an excess 8 number for the bias, and the fraction field 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?

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(b) Using this floating point format, what is the binary representation of decimal –5.675?