Booth Multiplication Algorithm: Hardware Implementation and Example, Lecture notes of Computer Architecture and Organization

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• Unit -

Hardware for Booth’s

Multiplication

Booth Multiplier Recording

Table

Multiplier Version of

Multiplicand

selected by bit i

Bit i Bit i +

0 0 0 x M

0 1 +1 x M

1 0 -1 x M

1 1 0 x M

Exercise

• Show the step by step multiplication process

using Booth algorithm when the following

binary numbers are multiplied. Assume 5-bit

registers that hold signed numbers. The

multiplicand in both cases is +15.

(+15) × (+13)

(+15) × (-13)