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The combinational circuits employ the comparators for comparing the numbers and storing them on the basis of maximum and minimum functions. Likewise in the interconnection networks the two processors carry out the computation of maximum and minimum functions in the given way below:
Let's consider that there are 2 processors pi and pj. Every one of these processors has been given as input an element of sequence say ei and ej. Now the processor pi transmits the element ei to pj and subsequently processor pj sends ej to pi. Afterwards processor pi computes the minimum of ei and ej it implies that min (ei,ej) and processor pj computes the maximum of ei and ej, it implies that max (ei,ej). The above process is known as compare-exchange and it has been depicted in Figure.
Figure: Illustration of Exchange-cum-Comparison in interconnection networks
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