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In order to perform floating point computer arithmetic, you can store floating ...

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In order to perform floating point computer arithmetic,

you can store floating point numbers as 32-bit “single precision” using IEEE754.

Please complete the following problem

A) Convert the

two following numbers (X and Y) to IEEE754 representation

X = 23.125

Y = -61.5

B) 

Explain with

reference to each component of the IEEE754 representation (the mantissa, the exponent,

and  the sign) how a computer multiplies these

two numbers together. Your answer should explain step by step the reason for

the approach, and what numerical operations are required.

C)  

Which

(if any steps) correspond to integer instructions that we have studied in this

unit?

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