q can you explain twos complement division2s


Q. Can you explain twos Complement Division?

2's complement division is repeated 2's complement subtraction. The 2's complement of the divisor is calculated, and then added to the dividend. For a next subtraction cycle, the quotient replaces the dividend and this repeats until the quotient is too small for subtraction or is zero, and then it becomes the remainder. The last answer is the total of subtraction cycles plus the remainder.

For illustration,

7 ÷ 3 = 2 remainder 1       0000 0111 = +7         0000 0100 = +4

                                      + 1111 1101 = -3           0000 0100 = -3

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                                     + 1111 1101 = +4     0000 0001 = +1 (remainder)

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