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# Lab2 - Lab 2 Part 1 2's complement Booth's Multiplication...

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Lab 2 Part 1: 2’s complement Booth’s Multiplication Build a 11-bit two's complement multiplier using Booth’s algorithm. Part 2: Equivalence Checking Decide whether the function pairs are equivalent or not by implementing these functions and applying inputs to show the (in)equality. Perform Boolean function transformation and verify your transformation result in LogicWorks.

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2’s Complement Booth’s Multiplication Basic Idea Accumulate a partial sum in multiple steps. The rightmost bit of the multiplier and the value of the flip-flop are checked on every step to determine the operation. Shift the partial sum and the multiplier one bit to the right on every step. Make the partial sum line up with the multiplicand; Always check the rightmost bit of multiplier, no need to check higher bits; Lower bits of the partial sum shifted into the multiplier register for storage.
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