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If A = 1, B = 1, and C = 0, what is the output of A OR (B AND C)?

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Question: If A = 1, B = 1, and C = 0, what is the output of A OR (B AND C)?

Options:

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

Correct Answer: 1

Solution:

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

If A = 1, B = 1, and C = 0, what is the output of A OR (B AND C)?

Practice Questions

Q1
If A = 1, B = 1, and C = 0, what is the output of A OR (B AND C)?
  1. 0
  2. 1
  3. 2
  4. Undefined

Questions & Step-by-Step Solutions

If A = 1, B = 1, and C = 0, what is the output of A OR (B AND C)?
  • Step 1: Identify the values of A, B, and C. A = 1, B = 1, C = 0.
  • Step 2: Calculate B AND C. This means we look at B (1) and C (0). Since both must be 1 for AND to be 1, we have 1 AND 0 = 0.
  • Step 3: Now we have the result of B AND C, which is 0. Next, we need to calculate A OR (B AND C). This means we look at A (1) and the result from Step 2 (0).
  • Step 4: Calculate A OR 0. Since OR means at least one must be 1, we have 1 OR 0 = 1.
  • Step 5: The final output is 1.
  • Boolean Logic – Understanding the operations of AND, OR, and their truth values.
  • Operator Precedence – Recognizing the order in which logical operations are evaluated.
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