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

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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_
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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