A Karnaugh map for a 6-variable function can be drawn as shown in Figure. In such a map, c...

A Karnaugh map for a 6-variable function can be drawn as shown in Figure. In such a map, cells that occupy the same relative position in adjacent submaps are Considered to be adjacent. Minimize the following functions using 6-variable maps:

(a) F = ∑U,V,W,X,Y,Z(1, 5, 9, 13, 21, 23, 29, 31, 37, 45, 53, 61)

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(b) F = ∑U,V,W,X,Y,Z(0, 4, 8, 16, 24, 32, 34, 36, 37, 39, 40, 48, 50, 56)

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(c) F = ∑U,V,W,X,Y,Z(2, 4, 5, 6, 12−21, 28−31, 34, 38, 50, 51, 60−63)

Figure