IB Computer Science – Logic

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Presentation transcript:

IB Computer Science – Logic Truth Tables and Logical Equivalence

Evaluating by truth table What is the truth value of the logical expression NOT A AND (A OR B)? We can find this by evaluating the component values with a truth table.

Evaluating by truth table NOT A A OR B NOT A AND (A OR B) 1

Evaluating by truth table NOT A A OR B NOT A AND (A OR B) 1

Evaluating by truth table NOT A A OR B NOT A AND (A OR B) 1

Evaluating by truth table NOT A A OR B NOT A AND (A OR B) 1

Evaluating by truth table Evaluate (NOT B AND A) AND (B OR NOTA). We can find this by evaluating the component values with a truth table.

Evaluating by truth table NOT A NOT B NOT B AND A B OR NOTA (NOT B AND A) AND (B OR NOTA) 1

Evaluating by truth table NOT A NOT B NOT B AND A B OR NOTA (NOT B AND A) AND (B OR NOTA) 1

Evaluating by truth table NOT A NOT B NOT B AND A B OR NOTA (NOT B AND A) AND (B OR NOTA) 1

Evaluating by truth table NOT A NOT B NOT B AND A B OR NOTA (NOT B AND A) AND (B OR NOTA) 1

Evaluating by truth table NOT A NOT B NOT B AND A B OR NOTA (NOT B AND A) AND (B OR NOTA) 1

Evaluating by truth table NOT A NOT B NOT B AND A B OR NOTA (NOT B AND A) AND (B OR NOTA) 1

Evaluating by truth table