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What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, and

Practice Questions

Q1
What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, and C = 1?
  1. 0
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, and C = 1?
Correct Answer: 1
  • Step 1: Identify the values of A, B, and C. Here, A = 1, B = 0, and C = 1.
  • Step 2: Evaluate the expression B OR C. This means we check if either B or C is true (1). Since B = 0 and C = 1, we have 0 OR 1 = 1.
  • Step 3: Now, substitute the result from Step 2 into the expression A AND (B OR C). This gives us A AND 1.
  • Step 4: Evaluate A AND 1. Since A = 1, we have 1 AND 1 = 1.
  • Step 5: The final truth value of the expression A AND (B OR C) is 1.
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