Question # 2 Solution
Answer:
The truth table for the Boolean expression ¬a ∨ ¬b ↔ c is given below.
Step-by-step explanation:
As the given Boolean expression is
¬a ∨ ¬b ↔ c
Truth Table:
a b c ¬a ¬b ¬a ∨ ¬b ¬a ∨ ¬b ↔ c
0 0 0 1 1 1 0
0 0 1 1 1 1 1
0 1 0 1 0 1 0
0 1 1 1 0 1 1
1 0 0 0 1 1 0
1 0 1 0 1 1 1
1 1 0 0 0 0 1
1 1 1 0 0 0 0
Question # 4 Solution
Answer:
The truth table to determine whether ¬(k ∧ L) = ¬k ∧ ¬L is given below.
Step-by-step explanation:
Lets construct the truth table to determine whether ¬(k ∧ L) = ¬k ∧ ¬L is true or not.
Truth Table:
k L ¬k ¬L (k ∧ L) ¬(k ∧ L) ¬k ∧ ¬L
0 0 1 1 0 1 1
0 1 1 0 0 1 0
1 0 0 1 0 1 0
1 1 0 0 1 0 0
From the truth table, it is clear that ¬(k ∧ L) is not equal to ¬k ∧ ¬L
Therefore, ¬(k ∧ L) ≠ ¬k ∧ ¬L
Keywords: truth table, logical reasoning
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