1. For the 3x8 Decoder (with Enable) below, draw the Truth Table T B C EN- 3 × 8 Decoder DO D1 D2 D3 D4 D5 D6 D7

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**Title: Understanding the 3x8 Decoder with Enable**

**Description:**

This diagram illustrates a 3x8 decoder with an enable input, a fundamental component in digital electronics. A decoder is a combinational circuit that converts binary information from 'n' encoded inputs to a maximum of \( 2^n \) unique outputs.

**Inputs:**

- **A, B, C**: These are the 3 binary inputs.
- **EN**: This is the enable input which activates the decoder when set to a specific value (usually logic 1).

**Outputs:**

- **D0 to D7**: These are the 8 outputs of the decoder.

**Operation:**

- When the enable input (EN) is active, the decoder converts the 3-bit binary input (A, B, C) into one of the 8 outputs.
- The activated output corresponds to the binary value represented by A, B, and C.
- If the enable input is not active, all outputs are generally held at a logic low (0).

**Truth Table:**

To understand the operation, one needs to construct a truth table showing all possible input combinations and the corresponding activated output. For enabled input (EN), when set high, the outputs will behave as follows:

| EN | A | B | C | D0 | D1 | D2 | D3 | D4 | D5 | D6 | D7 |
|----|---|---|---|----|----|----|----|----|----|----|----|
| 1  | 0 | 0 | 0 | 1  | 0  | 0  | 0  | 0  | 0  | 0  | 0  |
| 1  | 0 | 0 | 1 | 0  | 1  | 0  | 0  | 0  | 0  | 0  | 0  |
| 1  | 0 | 1 | 0 | 0  | 0  | 1  | 0  | 0  | 0  | 0  | 0  |
| 1  | 0 | 1 | 1 | 0  | 0  | 0  | 1  | 0  | 0  | 0  |
Transcribed Image Text:**Title: Understanding the 3x8 Decoder with Enable** **Description:** This diagram illustrates a 3x8 decoder with an enable input, a fundamental component in digital electronics. A decoder is a combinational circuit that converts binary information from 'n' encoded inputs to a maximum of \( 2^n \) unique outputs. **Inputs:** - **A, B, C**: These are the 3 binary inputs. - **EN**: This is the enable input which activates the decoder when set to a specific value (usually logic 1). **Outputs:** - **D0 to D7**: These are the 8 outputs of the decoder. **Operation:** - When the enable input (EN) is active, the decoder converts the 3-bit binary input (A, B, C) into one of the 8 outputs. - The activated output corresponds to the binary value represented by A, B, and C. - If the enable input is not active, all outputs are generally held at a logic low (0). **Truth Table:** To understand the operation, one needs to construct a truth table showing all possible input combinations and the corresponding activated output. For enabled input (EN), when set high, the outputs will behave as follows: | EN | A | B | C | D0 | D1 | D2 | D3 | D4 | D5 | D6 | D7 | |----|---|---|---|----|----|----|----|----|----|----|----| | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
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