Problem 1: If F (x, y, z) = sum of (m0, m3, m6), write the equation of F and draw the complete truth table showing x, y,

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Problem 1: If F (x, y, z) = sum of (m0, m3, m6), write theequation of F and draw the complete truth table showing x, y, z andF.
Problem 2: If F(a, b, c, d) = sum (m (2, 4, 6, 9, 11, 13, 14)then write the expression of F i) in terms of minterms and ii) interms of maxterms.
Problem 3: Optimize the following Boolean functions by means of3-variable k-map
F(X, Y, Z) = sum of (m0, m1, m2, m4)
F(A, B, C) = sum of (m0, m2, m3, m4, m5, m7)
Problem 4: Optimize the following Boolean functions by means of4-variable k-map
F(A, B, C, D) = sum of (m2, m3, m8, m9, m10, m12, m13, m14)
F(A, B, C, D) = sum of (m1, m3, m6, m7, m9, m11, m12, m13,m15)