For example, multiply 100110 by 1011: 100110 1011 100110 (10011011) 100110 (10011012) 000000 (10011004, but we skip this step in the algorithm) 100110 (10011018) 110100010 This algorithm requires log b additions (the number of bits in b). This is the algorithm you will implement in your program. First your program will prompt the user and read the numbers a and b to be multiplied. Remember that a and b are converted to 2's complement when you read them. Your program will multiply the numbers as shown above, by adding shifted versions of a. For each digit of b you will need to determine whether it is 0 or 1, because (as shown above) if a digit is O then nothing is added for that digit.

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A: The answer is given below.

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