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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Chapter1: Computer Networks And The Internet
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For example, multiply 100110 by 1011:
100110
x 1011
100110 (10011011)
100110 (10011012)
000000 (10011004, but we skip this step in the algorithm)
(10011018)
100110
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.
To simplify, you can assume that both a and b are positive.
Transcribed Image Text:For example, multiply 100110 by 1011: 100110 x 1011 100110 (10011011) 100110 (10011012) 000000 (10011004, but we skip this step in the algorithm) (10011018) 100110 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. To simplify, you can assume that both a and b are positive.
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