Consider the following truth table:ABOutput001010101111 Which of the following expressions gives the truth table output? Question 2Select one or more:a.A OR NOT Bb.NOT ( NOT A AND B )c.A OR NOT ( A OR B )d.A AND B OR A AND NOT B OR NOT A AND NOT Be.A OR ( NOT A AND NOT B )
Question
Consider the following truth table:ABOutput001010101111 Which of the following expressions gives the truth table output? Question 2Select one or more:a.A OR NOT Bb.NOT ( NOT A AND B )c.A OR NOT ( A OR B )d.A AND B OR A AND NOT B OR NOT A AND NOT Be.A OR ( NOT A AND NOT B )
Solution
The truth table represents the logical operation A XOR B (A exclusive OR B). This operation gives a true (or 1) result if the number of true inputs is odd.
Let's evaluate each option:
a. A OR NOT B: This would give a true result for the first, second and third rows of the truth table, but not the fourth. So, this is not the correct expression.
b. NOT ( NOT A AND B ): This would give a true result for the first, second and fourth rows of the truth table, but not the third. So, this is not the correct expression.
c. A OR NOT ( A OR B ): This would give a true result only for the second row of the truth table. So, this is not the correct expression.
d. A AND B OR A AND NOT B OR NOT A AND NOT B: This would give a true result for the second, third and fourth rows of the truth table, but not the first. So, this is not the correct expression.
e. A OR ( NOT A AND NOT B ): This would give a true result for the first, second and third rows of the truth table, but not the fourth. So, this is not the correct expression.
Therefore, none of the given expressions match the truth table output.
Similar Questions
1) Generate the truth table for this set of logical expressions.∨ ⊃where indicates ‘or’ operation, • indicates an ‘and’ operation, indicates and ‘if-then’ relationship, and ≡ indicates ‘if and only if’ relationship.∼ ⊃a) ( Y (A • X))
The expression for the truth table given below in POS form is given by :
onstruct a truth table for the following boolean expressions of ABC + NOT A NOT B NOT C
The truth value of a negation (NOT) in a truth table is true when:a.The operand is trueb.The operand is falsec.The operand is unknownd.The operand is both true and false
Draw truth-table for negation.
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