4. A 4-input MUX is shown on the left below. The logic gate diagram is shown below it, FYI. For the timing diagram given on the right, determine the output at each of the times a - h. L.e., for each time interval, determine which data input is selected, and the value of that data input (0 or 1) at that time. MUX Do Data S select S Do 10 D, Data D, imputs D Dy 13 Si oio 0I0 Loaic svmbol for a 1-of-4 data selector/ a bc def 8h so' sO s1'S1 EN S1 EN DO D1 D2 D3 II ILEE

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## 4-Input Multiplexer (MUX) and Timing Analysis

### Description

A 4-input MUX is displayed in the upper left section of the image. Below this is a logic gate diagram for reference. To the right, a timing diagram provides visual data.

### Task

For the provided timing diagram, determine the output during each interval labeled from a to h. This involves identifying the active data input (D0, D1, D2, or D3) and its binary value (0 or 1) based on the select inputs (S0, S1).

### Multiplexer Diagram

- **Data Select Lines:** S0 and S1
- **Data Inputs:** D0, D1, D2, D3
- **Output:** Dependent on data select combination

### Timing Diagram Explanation

The timing diagram includes multiple waveforms:

1. **D0, D1, D2, D3 Waveforms:** Show binary signals for each data input.
2. **S0, S1 Waveforms:** Indicate the select lines’ states.

Across intervals a through h, the waveform values for S0 and S1 determine which data input is selected at each point:

- **Interval a:** Check S0 and S1 to determine the selected input and its value.
- **Repeat** for intervals b to h.

### Logic Gate Diagram

This shows the inner workings of the MUX using AND, OR, and NOT gates:

- **Inputs:** Include EN (Enable), S0, S1, and data inputs D0 to D3.
- **Output (Y):** Result of logic operations based on S0 and S1.

### Logical Flow

1. **Select Lines (S0, S1):** Define which data input is routed to the output.
2. **Gates:** Use logic to control data flow based on select line settings.
3. **Output (Y):** Final selected data input's value.

This analysis helps in understanding how data is multiplexed based on control signals and illustrates the role of timing analysis in digital circuits.
Transcribed Image Text:## 4-Input Multiplexer (MUX) and Timing Analysis ### Description A 4-input MUX is displayed in the upper left section of the image. Below this is a logic gate diagram for reference. To the right, a timing diagram provides visual data. ### Task For the provided timing diagram, determine the output during each interval labeled from a to h. This involves identifying the active data input (D0, D1, D2, or D3) and its binary value (0 or 1) based on the select inputs (S0, S1). ### Multiplexer Diagram - **Data Select Lines:** S0 and S1 - **Data Inputs:** D0, D1, D2, D3 - **Output:** Dependent on data select combination ### Timing Diagram Explanation The timing diagram includes multiple waveforms: 1. **D0, D1, D2, D3 Waveforms:** Show binary signals for each data input. 2. **S0, S1 Waveforms:** Indicate the select lines’ states. Across intervals a through h, the waveform values for S0 and S1 determine which data input is selected at each point: - **Interval a:** Check S0 and S1 to determine the selected input and its value. - **Repeat** for intervals b to h. ### Logic Gate Diagram This shows the inner workings of the MUX using AND, OR, and NOT gates: - **Inputs:** Include EN (Enable), S0, S1, and data inputs D0 to D3. - **Output (Y):** Result of logic operations based on S0 and S1. ### Logical Flow 1. **Select Lines (S0, S1):** Define which data input is routed to the output. 2. **Gates:** Use logic to control data flow based on select line settings. 3. **Output (Y):** Final selected data input's value. This analysis helps in understanding how data is multiplexed based on control signals and illustrates the role of timing analysis in digital circuits.
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