4. a) Show that (T · Ō) + (1 · Ō) = 1. b) Translate the equation in part (a) into a propositional equivalence by changing each 0 into an F, each 1 into a T, each Boolean sum into a disjunction, each Boolean product into a conjunction, each complemen- tation into a negation, and the equals sign into a propo- sitional equivalence sign.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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4. a) Show that (ī · Ō) + (1 · Ō) = 1.
b) Translate the equation in part (a) into a propositional
equivalence by changing each 0 into an F, each 1
into a T, each Boolean sum into a disjunction, each
Boolean product into a conjunction, each complemen-
tation into a negation, and the equals sign into a propo-
sitional equivalence sign.
Transcribed Image Text:4. a) Show that (ī · Ō) + (1 · Ō) = 1. b) Translate the equation in part (a) into a propositional equivalence by changing each 0 into an F, each 1 into a T, each Boolean sum into a disjunction, each Boolean product into a conjunction, each complemen- tation into a negation, and the equals sign into a propo- sitional equivalence sign.
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