What are the minimum number of bits required to multiply two numbers $X = 25$ a…

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What are the minimum number of bits required to multiply two numbers $X = 25$ and $Y = -1030$ using Booth’s multiplication algorithm?

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$25$ requires 6 bits (including sign). $1030$ requires 11 bits, plus sign ⇒ 12 bits. Booth’s algorithm needs bits equal to the larger operand size.

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