Illustrate the multiplication algorithms, Computer Engineering

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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

                                        10111

                                        00000

                                        00000

          10111

            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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