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2 votes
Construct the complete truth-table for the following
formula:
[Q → (A v B)] & (Q → B)

User Dan Tao
by
8.7k points

1 Answer

0 votes

The complete truth-table for the given formula is shown

How to construct the truth table?

The given formula can be rewritten as:

Q → (A ∨ B) ∧ (Q → B)

Using a truth table generator online, the truth table for this formula is:

A B Q (Q → ((A ∨ B) ∧ (Q → B)))

F F F T

F F T F

F T F T

F T T T

T F F T

T F T F

T T F T

T T T T

User Nikolay Ermakov
by
8.1k points