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Efficient Binary Multiplication with Booth's Algorithm

Explore binary multiplication in 2’s complement using Booth's Algorithm for optimal hardware efficiency. Learn to multiply numbers like -6 and 5 or 6 and -3 with practical examples and step-by-step implementation guidance.

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Efficient Binary Multiplication with Booth's Algorithm

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  1. ECE 0142 Computer Organization Lecture 5 Multiplication and Division

  2. Recitation • Multiplying two numbers in 2’s complement, using the best hardware we learned (pp. 25) • 11010  0101 • 0101  11010

  3. Recitation (Implementation 3) • Let’s do 11010 x 0101 (-6 x 5 = -30)

  4. Recitation (Implementation 3) • Let’s do 0101 x 11010 (5 x -6 = -30)

  5. Use Booth Alg. • Solve 0110  1111000

  6. Booth’s Algorithm Example • Let’s do 0110 x 1111000 (6 x -3)

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