Complement of the intersection of two sets

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The complement of the union of two sets is equal to the intersection of their complements and the complement of the intersection of two sets is equal to the union of their complements. This is called De Morgan's laws. With your knowledge in de-Morgan's theory kindly design the following logic gates, with two or three input as the case may be and express the logical function of each.

(i) F = (X + Y' + XY) (X + Y') (X'Y)

(ii) Y = (A + B) (A + C') (B' + C')

(iii) K = AB + (AC)' + AB'C (AB + C)

(iv) G = A'B'C' + A'BC' + A'BC

(v) H = ABC + BC + AB' + AC' + BC+AB'C'

Reference no: EM132493519

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