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2. Binary Addition of Integers: Given two integers a and b, their binary expansions are shown below. a = (an-jan-2 ...aj20)2, b = (bn-1bn-2 ...bibo)2
2. Binary Addition of Integers: Given two integers a and b, their binary expansions are shown below. a = (an-jan-2 ...aj20)2, b = (bn-1bn-2 ...bibo)2 To compute the sum of a and b in binary form, add the corresponding pairs of bits with carries when they occur. . First add their rightmost bits. This gives do + bo = co 2 + so, O so is the rightmost bit in the binary expansion of a + b and O Co is the carry. Then add the next pair of bits and the carry. aj + bi + co = ci: 2+ si O Si is the next bit (from the right) in the binary expansion of a + b, and O ci is the carry. . Continue this process, adding the corresponding bits in the two binary expansions and the carry, to determine the next bit from the right in the binary expansion of a + b. . At the last stage, an-1 + bn-1 + Cn-2 = Cn-1 2 + Sn-1 The leading bit of the sum is sn = Cn-1. This procedure produces the binary expansion of the sum, The leading bit of the sum is sn = Cn-1. This procedure produces the binary expansion of the sum, SE. Cn-1Cn-2 cc. an-jan-2...000 bn-ibn-2...bibo Sn-1 Sn-2 S, S. Write pseudocode for adding two integers in binary expansions formally. Store the two binary integers and their sum in arrays. Illustrate your algorithm using this following two integers: a = (1110)2 and b = - (1011)2. You must show/explain your work. Simply stating the answers will result in 0 points awarded. (10 points)
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