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3 years ago

Logical reasoningsubtitle: truth table

Mathematics

1 answer:

solniwko [45]3 years ago

7 0

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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Logical reasoningsubtitle: truth table​

Logical reasoningsubtitle: truth table