Problem_#08] For the 4-bit parity generator shown, determine the output. It this circuit generating even or odd parity? Bit time Ao A1 A2 A3
Problem_#08] For the 4-bit parity generator shown, determine the output. It this circuit generating even or odd parity? Bit time Ao A1 A2 A3
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![**Problem #08**
For the 4-bit parity generator shown, determine the output. Is this circuit generating even or odd parity?
**Diagram Explanation:**
The diagram depicts a 4-bit parity generator circuit with inputs labeled \( A_0, A_1, A_2, \) and \( A_3 \). The circuit uses XOR gates to process these inputs:
1. **Gate Configuration:**
- The first XOR gate takes inputs \( A_0 \) and \( A_1 \).
- The second XOR gate takes inputs \( A_2 \) and \( A_3 \).
- The outputs of these two XOR gates are then fed into a third XOR gate.
2. **Parity Generation:**
- The output of the third XOR gate provides the parity bit.
- Since XOR gates are used, the circuit generates even parity by outputting 0 if the number of 1s in the inputs is even and 1 if the number of 1s is odd.
Thus, this circuit is designed to generate an even parity bit for the given 4 bits of input.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf83fd6e-e07d-4ede-9702-55cd0afe0119%2F8511494d-f9e9-41ef-a683-558876cd90a9%2F6ix2vezh_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem #08**
For the 4-bit parity generator shown, determine the output. Is this circuit generating even or odd parity?
**Diagram Explanation:**
The diagram depicts a 4-bit parity generator circuit with inputs labeled \( A_0, A_1, A_2, \) and \( A_3 \). The circuit uses XOR gates to process these inputs:
1. **Gate Configuration:**
- The first XOR gate takes inputs \( A_0 \) and \( A_1 \).
- The second XOR gate takes inputs \( A_2 \) and \( A_3 \).
- The outputs of these two XOR gates are then fed into a third XOR gate.
2. **Parity Generation:**
- The output of the third XOR gate provides the parity bit.
- Since XOR gates are used, the circuit generates even parity by outputting 0 if the number of 1s in the inputs is even and 1 if the number of 1s is odd.
Thus, this circuit is designed to generate an even parity bit for the given 4 bits of input.
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