Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
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Chapter 3, Problem 3.14E
Program Plan Intro

Booth’s Algorithm:

In order to multiply two signed binary numbers in 2’s complement format, Booth algorithm is used.

Steps in Booth Algorithm:

First one needs to assign the multiplicand as “BR” and multiplier as “QR”. Then the algorithm works as per the following conditions:

  • If “Qn” and “Qn+1 are same which is “00” or “11”, then one needs to perform arithmetic shift by 1 bit.
  •  If “Qn” and “Qn+1”= “10”, then one needs to do “A= A + BR” and perform arithmetic shift by 1 bit.
  •  If “Qn” and “Qn+1”= “01”, then one needs to do “A= A – BR” and perform arithmetic shift by 1 bit.

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