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Category > Computer Science Posted 19 Sep 2017 My Price 5.00

n-digit binary number

The 2"s complement of an n-digit binary number p is an n-digit binary number q such that p + q equals an n-digit representation of zero (any carry digit to column n + 1 is ignored). Thus 01110 is the 2"s complement of 10010 because

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The 2"s complement idea can be used to represent negative integers in binary form. After all, the negative of p is by definition a number that, when added to p, results in zero. Given a binary number p, the 2"s complement of p is found by scanning p from loworder to high-order digits (right to left). As long as digit i of p is 0, digit i of q is 0. When the first 1 of p is encountered, say at digit j, then digit j of q is 1, but for the remaining digits, j < i - n, q, = p". For p = 10010, for instance, the rightmost 0 digit of p stays a 0 digit in q, and the first 1 digit stays a 1 digit. The remaining digits of q, however, are the reverse of the digits in p.

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For each binary number p, find the 2"s complement of p, namely q, and then calculate p + q.

a. 1100

b. 1001

c. 001

Answers

Maurice Tutor
(5)
Status NEW Posted 19 Sep 2017 12:09 PM My Price 5.00

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