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Booth's Algorithm for Multiplication
1. Set product = Multiplier 2. Depending on the current and previous bits, do one of the following: 00: Middle of a string of 0's, so no arithmetic operation. 01: End of a string of 1's so add the multiplicand to the left half of the product 10: Beginning of a string of 1s, so subtract the multiplicand from the left half of the product. 11: Middle of a string of 1's, so no arithmetic operation. 3. Shift the product register right 1 bit (1 if 1 and 0 if 0) and go to 2. Example: 0010 Multiplicand negative = 1110 (-2) 1101 x Multiplier ----------- 1111 1010 Product: Prev 0000 1101 (0) -2 --> 1110 1101 (1) Shift --> 1111 0110 (1) +2 --> 0001 0110 (1) Shift --> 0000 1011 (0) -2 --> 1110 1011 (0) Shift --> 1111 0101 (1) Shift --> 1111 1010 (1) Answer
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