Question: a . Convert 2 7 . 8 1 2 5 into IEEE - 7 5 4 number 3 2 - bit single precision representation. Provide

a. Convert 27.8125 into IEEE-754 number 32-bit single precision representation. Provide the answer in Hexadecimal. b. i. Carry out the addition \(27.8125+13.5\) in IEEE-754 single precision arithmetic. Show clearly the steps of exponent alignment and postnormalization for the mantissa. ii. Draw the data flow for floating point addition and subtraction corresponding to the hardware implementation.

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