Evaluate the expressions in each of the following triples: (a) 8 (mod 3) = 12 (mod 3) = 8 + 12 (mod 3) =
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Problem 2. Evaluate the expressions in each of the following triples:
(a) 8 (mod 3) = 12 (mod 3) = 8 + 12 (mod 3) =
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- Problem 1. Evaluate the following expressions: (a) 8 (mod 3) = (b) 17 (mod 8) = (c) 7 (mod 12) = Problem 2. Evaluate the expressions in each of the following triples: (c) 3 (mod4) = 10 (mod4) = 3·10 (mod4) =Problem 1. Evaluate the following expressions: (d) 22 (mod 11) = (e) −17 (mod 8) = (f)0(mod9)=
- 2) Convert each of the following expressions into sum of products and products of sums: (a) (AB + C)(B + C’D) (b) x’ + x(x + y’)(y + z’)Construct the truth table for the following statement. P ⇒ Q ∨ ¬R ⇔ P ∧ Q2. Look for the dual of the following Boolean expressions:a. xyz + x'y'z'b. xz' + x⋅0 +x'⋅1
- 6. B) Write equivalent expressions for each of the following by using De Morgan’s Law. !(a || b) !(y > 2 && !found )Simplify the following formula. 1. F = XY’Z’ + X’Y’Z’ + X’Y’Z + X’YZ 2. F = X’YZ’ + XYZ’ + XYZ + XY’Z1. 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)