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Which of the following gates will have a...

Which of the following gates will have an output of 1 ?

A

B

C

D

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The correct Answer is:
To determine which of the given gates will have an output of 1, we will analyze each gate step by step using the provided inputs. ### Step-by-Step Solution: 1. **Part A: NAND Gate** - Inputs: A = 1, B = 0 - NAND operation: The output of a NAND gate is given by the formula \( Y = \overline{A \cdot B} \). - Calculation: \[ Y = \overline{1 \cdot 0} = \overline{0} = 1 \] - **Output for Part A**: 1 2. **Part B: OR Gate with NOT** - Inputs: A = 0, B = 1 - The output of an OR gate is given by \( Y = A + B \). However, since there is a NOT gate, we have: - Calculation: \[ Y = \overline{A + B} = \overline{0 + 1} = \overline{1} = 0 \] - **Output for Part B**: 0 3. **Part C: NAND Gate** - Inputs: A = 0, B = 1 - Using the NAND formula again: - Calculation: \[ Y = \overline{0 \cdot 1} = \overline{0} = 1 \] - **Output for Part C**: 1 4. **Part D: XOR Gate with NOT** - Inputs: A = 0, B = 1 - The output of an XOR gate is given by \( Y = A \oplus B \). Since there is a NOT gate, we have: - Calculation: \[ Y = \overline{(A \oplus B)} = \overline{(0 \oplus 1)} = \overline{1} = 0 \] - **Output for Part D**: 0 ### Summary of Outputs: - Part A: 1 - Part B: 0 - Part C: 1 - Part D: 0 ### Final Answer: The gates that will have an output of 1 are **Part A and Part C**.

To determine which of the given gates will have an output of 1, we will analyze each gate step by step using the provided inputs. ### Step-by-Step Solution: 1. **Part A: NAND Gate** - Inputs: A = 1, B = 0 - NAND operation: The output of a NAND gate is given by the formula \( Y = \overline{A \cdot B} \). - Calculation: ...
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