Construct table of minterms and maxterms for 4 variables - x,y,z,w Obtain the truth table of the following functions, and express each function in sum-of-minterms (canonical SOP) and product-of-maxterms ( canonical POS) form: a) (xy+z)(y+x'z) b) (x+y')(y'+z) c) x'z+wx'y+wyz'+w'y' d) (xy+yz'+x'z)(x+z)

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Implement the following Boolean function F, using the two-level forms of logic (a) NAND-AND, (b) AND-NOR, (c) OR-NAND, and (d) NOR-OR: F(W, X, Y, Z) = ∑ (2, 3, 4, 8, 9, 10, 12, 14)

Q1 Find the minimum sum-of-products expression for each function (d denotes don't care terms specified in parentheses). (a) f(a,b,c,d) = Σm(0,2,3,4,7,8,14) (b) f(a,b,c,d) = Σm(1,2,4,15) + Σd(0,3,14)

Write down an expression for F(X,Y,Z) in (a) sum of minterms form and (b) product of maxterms form for the truth table below: 4. Y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

1. Simplify the following Boolean functions, using three-variable Kmaps: (a) F(x, y, z) = Σ(0, 1, 5, 7) (b) F(x, y, z) = Σ(1, 2, 3, 6, 7) (c) F(x, y, z) = Σ(2, 3, 4, 5)

2. Assume you have the following truth tables for functions F1(x, y, z) and F2(x, y, z): X y 0 0 0 0 1 1 1 1 oK NOH 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 F1 --| 1 1 0 0 0 1 0 0 F2 ононононл 1 1 1 1 a) Express F1 and F2 in sum-of-products form b) Simplify each function

Create a truth table that corresponds to the combinational function listed below

F please.

9. Give a truth table and a standard sum of products expressions form (min-terms) that describes F(A,B,C) = A OBOC

3. Use the Karnaugh-Map to simplify the following expressions F(A, B, C) = ABC + ABC + ABC + ABC + ABC F(A,B,C,D) = A + AB + ABC + BCD + ACD ii.