The circuit below has a 4-input priority encoder connected to a 2-to-4 decoder with enable. The truth table for the priority encoder is given. (The 13 input is highest priority.) All signals are active high. What functions of A, B, C and D are realized by Z3, Z2, Z₁, and Zo? A B C. D 13 12 Priority Encoder 1₁ 10 Yo G Z₂ S₁ 2-to-4 Z₂ Decoder Z₁ Z₂ E 13 12 11 10 GY₁ Yo 0000 000 1 001 01 (b) 000 100 101 110 1 1 1
The circuit below has a 4-input priority encoder connected to a 2-to-4 decoder with enable. The truth table for the priority encoder is given. (The 13 input is highest priority.) All signals are active high. What functions of A, B, C and D are realized by Z3, Z2, Z₁, and Zo? A B C. D 13 12 Priority Encoder 1₁ 10 Yo G Z₂ S₁ 2-to-4 Z₂ Decoder Z₁ Z₂ E 13 12 11 10 GY₁ Yo 0000 000 1 001 01 (b) 000 100 101 110 1 1 1
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![The circuit consists of a 4-input priority encoder connected to a 2-to-4 decoder with enable. The priority encoder takes inputs \( A, B, C, \) and \( D \), which correspond to \( I_3, I_2, I_1, \) and \( I_0 \) respectively. The truth table for the priority encoder is provided, with \( I_3 \) being the highest priority input. All signals are active high.
**Circuit Diagram (a):**
- **Inputs and Components:**
- Inputs: \( A = I_3, B = I_2, C = I_1, D = I_0 \)
- Priority Encoder produces outputs \( Y_1, Y_0, \) and generates a group signal \( G \).
- Output from the encoder connects to a 2-to-4 Decoder.
- Decoder outputs: \( Z_3, Z_2, Z_1, Z_0 \)
- **Connections:**
- \( Y_1, Y_0 \) from the encoder are inputs to the decoder,
- \( G \) serves as an Enable \( E \) for the decoder.
**Truth Table (b):**
The truth table outlines how inputs are prioritized and decoded:
| \( I_3 \) | \( I_2 \) | \( I_1 \) | \( I_0 \) | \( G \) | \( Y_1 \) | \( Y_0 \) |
|-----------|-----------|-----------|-----------|-----------|-----------|-----------|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 1 | 0 | 0 |
| 0 | 0 | 1 | X | 1 | 0 | 1 |
| 0 | 1 | X | X | 1 | 1 | 0 |
| 1 | X | X | X | 1 | 1 | 1 |
- \( X \) denotes “don't care” conditions.
**Decoder Outputs \( Z_3, Z_2, Z_1, Z_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45c81704-b99b-4799-8b32-de82e87450ed%2F400d7f0a-d0bf-40a8-9ae5-cc977a310236%2Fyzjsnnw_processed.png&w=3840&q=75)
Transcribed Image Text:The circuit consists of a 4-input priority encoder connected to a 2-to-4 decoder with enable. The priority encoder takes inputs \( A, B, C, \) and \( D \), which correspond to \( I_3, I_2, I_1, \) and \( I_0 \) respectively. The truth table for the priority encoder is provided, with \( I_3 \) being the highest priority input. All signals are active high.
**Circuit Diagram (a):**
- **Inputs and Components:**
- Inputs: \( A = I_3, B = I_2, C = I_1, D = I_0 \)
- Priority Encoder produces outputs \( Y_1, Y_0, \) and generates a group signal \( G \).
- Output from the encoder connects to a 2-to-4 Decoder.
- Decoder outputs: \( Z_3, Z_2, Z_1, Z_0 \)
- **Connections:**
- \( Y_1, Y_0 \) from the encoder are inputs to the decoder,
- \( G \) serves as an Enable \( E \) for the decoder.
**Truth Table (b):**
The truth table outlines how inputs are prioritized and decoded:
| \( I_3 \) | \( I_2 \) | \( I_1 \) | \( I_0 \) | \( G \) | \( Y_1 \) | \( Y_0 \) |
|-----------|-----------|-----------|-----------|-----------|-----------|-----------|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 1 | 0 | 0 |
| 0 | 0 | 1 | X | 1 | 0 | 1 |
| 0 | 1 | X | X | 1 | 1 | 0 |
| 1 | X | X | X | 1 | 1 | 1 |
- \( X \) denotes “don't care” conditions.
**Decoder Outputs \( Z_3, Z_2, Z_1, Z_
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