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(a) Represent the fixed point decimal number + 88.875 in IEEE 754 floating point format. Express your final answer in hexadecimal showing all the working.

(b) Consider a hypothetical floating point format which is similar to IEEE format except that it uses 6 bit excess-31 notation for the exponent and 25 bits for the mantissa in a 32 bit machine. Represent the decimal number from part (a) in hexadecimal using this hypothetical format. Show all the working.

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