Q 4. (a) Prove or disprove that for any real numbers x and y, [x + y] = [x] + Lyl (b) Find the complement of the Boolean expression: f = x. y + (y + z). (c) Find the Dual of Boolean expression: f = y +y z+ X Z

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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Q 4.
(a) Prove or disprove that for any real numbers x and y, [x + y] = [x] + Lyl
(b) Find the complement of the Boolean expression: f = x. y + (y + z).
(c) Find the Dual of Boolean expression:
f = y +y z+ X Z
Q 5. Express the Boolean function f = ab + āc sum of product and product of sum.
Q. 6. Construct the circuit that produces the output xy + xy + (y + 7)
Transcribed Image Text:Q 4. (a) Prove or disprove that for any real numbers x and y, [x + y] = [x] + Lyl (b) Find the complement of the Boolean expression: f = x. y + (y + z). (c) Find the Dual of Boolean expression: f = y +y z+ X Z Q 5. Express the Boolean function f = ab + āc sum of product and product of sum. Q. 6. Construct the circuit that produces the output xy + xy + (y + 7)
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