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

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

Options:

  1. 0
  2. 1
  3. 2
  4. Undefined

Correct Answer: 1

Solution: 

B OR C = 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, C = 1?
  • Step 1: Identify the values of A, B, and C. Here, A = 1, B = 0, and C = 1.
  • Step 2: Calculate B OR C. Since B = 0 and C = 1, we have 0 OR 1.
  • Step 3: Determine the result of 0 OR 1. The result is 1.
  • Step 4: Now, substitute the result back into the expression A AND (B OR C). This becomes A AND 1.
  • Step 5: Since A = 1, we have 1 AND 1.
  • Step 6: Determine the result of 1 AND 1. The result is 1.
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