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  2. Booth algorithm gives a procedure for multiplying binary integers in signed 2’s complement representation in efficient way, i.e., less number of additions/subtractions required. It operates on the fact that strings of 0’s in the multiplier require no addition but just shifting and a string of 1’s in the multiplier from bit weight 2^k to weight 2^m can be treated as 2^(k+1 ) to 2^m. As in all multiplication schemes, booth algorithm requires examination of the multiplier bits and shifting of the partial product. Prior to the shifting, the multipl...

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  3. Computer Fundamentals Questions and Answers – Booth’s …

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    What is a Booth algorithm?The booth algorithm is a multiplication algorithm that allows us to multiply the two signed binary integers in 2's complement, respectively. It is also used to speed up the performance of the multiplication process. It is very efficient too.
    What is Booth's multiplication algorithm?Booth's multiplication algorithm is a multiplication algorithm that multiplies two signed binary numbers in two's complement notation. The algorithm was invented by Andrew Donald Booth in 1950 while doing research on crystallography at Birkbeck College in Bloomsbury, London.
    What is a numerical example of Booth's algorithm?Example – A numerical example of booth’s algorithm is shown below for n = 4. It shows the step by step multiplication of -5 and -7. Product is calculated as follows: Faster than traditional multiplication: Booth’s algorithm is faster than traditional multiplication methods, requiring fewer steps to produce the same result.
    How does Booth's algorithm work if a number is negative?Booth\'s algorithm: first take 2\'s complement of given number if number is negative, then append 0 into LSB. Therefore, given number in signed representation (2\'s complementation) of -57
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