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Assume the following representation for a floating point number 1 sign bit, 4 bits exponent, 4 bits for the significand, and a bias of 7

Assume the following representation for a floating point number 1 sign bit, 4 bits exponent, 4 bits for

the significand, and a bias of 7 for the exponent (there is no implied 1 as in IEEE).

a) What is the largest number (in binary) that can be stored? Estimate it in decimal.

b) What is the smallest positive number( closest to 0) that can be stored in binary? Estimate it in decimal.

c) Describe the steps for adding two floating point numbers.

d) Describe the steps for multiplying two floating point numbers.

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