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Explain scheme for multiplication of $ 101\ast 010$

Subject: Basic VLSI Design

Topic: Data Path Design

Difficulty: Medium

1 Answer
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a = a2 a1 a0 = 101
b = b2 b1 b0 = 010

Array multiplier calculates the product (a2 a1 a0) x bi

Product terms are

P0 = a0b0 = 0

P1 = a0b1 + a1b0 = 0 +1 =1

P2 = a0b2 + a1b1 + a2b0 = 0 + 0 + 0 = 0

P3 = a1b2 + a2b1 = 1 + 0 = 1

P4 = a2b2 = 0

Multiplication = P4 P3 P2 P1 P0 = 01010

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