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 I3 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 4₁ Io G Z3 S₁ 2-to-4 Z₂ Decoder Z₁ So Zo E 13 12 11 10 GY₁ Y₁ 0000 000 0001 100 001 101 01 110 1 1 1 1 (b)

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The circuit presented involves a 4-input priority encoder connected to a 2-to-4 decoder with enable functionality. It includes an associated truth table for the priority encoder, where the input \( I_3 \) is given highest priority. All signals in the circuit are active high.

**Diagram Explanation:**

(a) **Circuit Block Diagram:**
- **Priority Encoder:** 
  - Inputs: \( A (I_3), B (I_2), C (I_1), D (I_0) \) 
  - Outputs: \( Y_1, Y_0 \)
  - Generates a binary code based on the highest priority active input.
  - Also outputs a general output \( G \).
  
- **2-to-4 Decoder:**
  - Inputs: \( S_1 (Y_1), S_0 (Y_0), E (G) \)
  - Outputs: \( Z_3, Z_2, Z_1, Z_0 \)
  - Decodes the input binary code into one of four possible active outputs.

(b) **Truth Table:**

| \( I_3 \) | \( I_2 \) | \( I_1 \) | \( I_0 \) | \( G \) | \( Y_1 \) | \( Y_0 \) |
|-----------|-----------|-----------|-----------|---------|-----------|-----------|
| 0         | 0         | 0         | 0         | 0       | X         | X         |
| 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         |

**Functions:** 

The outputs \( Z_3, Z_2, Z_1, \) and \( Z_0 \) depend on the functions derived from the inputs \( A, B, C, \) and \( D \) through the operation of the priority encoder and the decoder. The specific logical functions need to be determined based on
Transcribed Image Text:The circuit presented involves a 4-input priority encoder connected to a 2-to-4 decoder with enable functionality. It includes an associated truth table for the priority encoder, where the input \( I_3 \) is given highest priority. All signals in the circuit are active high. **Diagram Explanation:** (a) **Circuit Block Diagram:** - **Priority Encoder:** - Inputs: \( A (I_3), B (I_2), C (I_1), D (I_0) \) - Outputs: \( Y_1, Y_0 \) - Generates a binary code based on the highest priority active input. - Also outputs a general output \( G \). - **2-to-4 Decoder:** - Inputs: \( S_1 (Y_1), S_0 (Y_0), E (G) \) - Outputs: \( Z_3, Z_2, Z_1, Z_0 \) - Decodes the input binary code into one of four possible active outputs. (b) **Truth Table:** | \( I_3 \) | \( I_2 \) | \( I_1 \) | \( I_0 \) | \( G \) | \( Y_1 \) | \( Y_0 \) | |-----------|-----------|-----------|-----------|---------|-----------|-----------| | 0 | 0 | 0 | 0 | 0 | X | X | | 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 | **Functions:** The outputs \( Z_3, Z_2, Z_1, \) and \( Z_0 \) depend on the functions derived from the inputs \( A, B, C, \) and \( D \) through the operation of the priority encoder and the decoder. The specific logical functions need to be determined based on
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