Table 1 A В C X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 (i) Produce a Boolean expression for X in terms of A, B and C based on the truth table above. (ii) Use Boolean algebra to express X in part(a)(i) in the simplest form. (iii) Hence, verify your answer in part(a)(ii) using Karnaugh map.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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(a)
Table 1 shows a truth table.
Table 1
A
В
X
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(i) Produce a Boolean expression for X in terms of A, B and C based on the truth table
above.
(ii) Use Boolean algebra to express X in part(a)(i) in the simplest form.
(iii) Hence, verify your answer in part(a)(ii) using Karnaugh map.
Transcribed Image Text:(a) Table 1 shows a truth table. Table 1 A В X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 (i) Produce a Boolean expression for X in terms of A, B and C based on the truth table above. (ii) Use Boolean algebra to express X in part(a)(i) in the simplest form. (iii) Hence, verify your answer in part(a)(ii) using Karnaugh map.
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