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Multiplication Algorithms
Multiplication of the two fixed-point binary numbers in signed magnitude representation is done with paper and pencil through a process of successive shift and adds operations. This process can be best illustrated with a numerical example:
23 10111 Multiplicand
19 x 10011 Multiplier
10111
00000
437 110110101 Product
This process looks at successive bits of multiplier, least significant bit first. If multiplier bit is 1, multiplicand is copied as it is; or else, we copy zeros. Now we shift numbers copied down one position to left from previous numbers. Finally, numbers are added and their sum produces product.
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