Write a boolean function in sum-of-products form for the following. F(X, Y, Z) is true when exactly one of the following is true: a) X is true b) Y is false and Z is true
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Write a boolean function in sum-of-products form for the following.
F(X, Y, Z) is true when exactly one of the following is true:
a) X is true
b) Y is false and Z is true
Step by step
Solved in 2 steps
- Let the Boolean function F(x, y, z) = x‾.(y + z) A. Find the values of the Boolean function F (you may copy the following table and fill it) B. Represent F using the sum-of-products expansion form x y z x‾ y + z x‾.(y + z) 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0Simpilify the following expressions by means of boolean algebra. xyz +x'yz+x'yz'+xyz'Simplify the following Boolean expression. F(X, Y, Z) = !X + !Y + X*Y*!Z =
- For the Boolean functions F(X,Y,Z) and E(X,Y,Z), as given in the following truth table: (a) List the minterms of F(b) List the maxterms of E(c) List the minterms of E' (d) List the maxterms of F⋅E(e) Express the Standard Sum of Product (SSOP) form of F(f) Express the Standard Product of Sum (SPOS) of F⋅ESimplify the below expressions a) By using Boolean algebra b) By using Karnaugh maps. i) z=xy+xy' ii) z= x+xySimplify the following expressions using Boolean Algebra:Z = (C + D)’ + A’ C D’ + A B’ C’ + A’ B ‘C D + A C D’
- Simplify the following Boolean functions to product-of-sums (POS) form: F(A,B,C,D)= =M(0,1,2,4,5,6,8,9,10) Hint: You need to group the zeros instead of the ones. Each number represents a zero.Simplify the given Boolean Expression: 2. A.(A + B') + A'B' + A' Simplify the above expression using basic properties only.Consider a boolean function with input a, b, c, and d. The value of the inputs can be defined as V = 8*a + 4*b + 2*c + d. The output of this function is true if V mod 4 is 1 or 2 or 3.