Multiplication More complicated than addition

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Presentation transcript:

Multiplication More complicated than addition accomplished via shifting and addition More time and more area Let's look at 3 versions based on grade school algorithm 01010010 (multiplicand) x01101101 (multiplier) Negative numbers: convert and multiply Use other better techniques like Booth’s encoding

Multiplication 01010010 (multiplicand) 01010010 (multiplicand) x01101101 (multiplier) 00000000 01010010 x1 01010010 000000000 x0 001010010 0101001000 x1 0110011010 01010010000 x1 10000101010 000000000000 x0 010000101010 0101001000000 x1 0111001101010 01010010000000 x1 10001011101010 000000000000000 x0 0010001011101010 01010010 (multiplicand) x01101101 (multiplier) 00000000 01010010 x1 01010010 000000000 x0 001010010 0101001000 x1 0110011010 01010010000 x1 10000101010 000000000000 x0 010000101010 0101001000000 x1 0111001101010 01010010000000 x1 10001011101010 000000000000000 x0 0010001011101010

Multiplication Example