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Step 1 of 1 4.052E The Karnaugh-map for four variables is shown in Figure 1: WX 00 01 11 YZ 10 0 4 12 8 00 Prime Implicant 1 5 01 1 1 3 7 15 11 11 1 1 10 6 14 Prime Implicant 1 10 1 Figure 1: Kamaugh map Irredundant sum is the one in which removal of any one the essential prime implicants cannot implies the same function F. Therefore, from Figure 1, the irredundant sum is, Therefore, the irredundant sum is

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