Problem_#07] For the Multiplexer show below you are given the following signal assignments=> D3 = 0, D₂ = 1, D₁ = 0, Do = 1. The Select line waveform for S₁, and So are shown below. Find the output. So S₁ So S₁ Do D₁ D₂ D3 MUX B 8123

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**Problem #07:** For the Multiplexer shown below, you are given the following signal assignments: D₃ = 0, D₂ = 1, D₁ = 0, D₀ = 1. The select line waveforms for S₁ and S₀ are shown below. Find the output.

### Diagram Explanation:

The diagram features a 4-to-1 multiplexer with the following details:
- Inputs: D₀, D₁, D₂, D₃
- Select Lines: S₁, S₀
- Output: Y

The table within the diagram indicates which data input (D₀, D₁, D₂, D₃) is selected based on the combination of select lines S₁ and S₀:
- S₁ S₀ = 00 ➔ D₀ is selected
- S₁ S₀ = 01 ➔ D₁ is selected
- S₁ S₀ = 10 ➔ D₂ is selected
- S₁ S₀ = 11 ➔ D₃ is selected

### Signal Waveforms:

- **S₀:** Alternates between high (1) and low (0) at regular intervals, starting low.
- **S₁:** Starts low and briefly transitions to high (1) for a brief period, then returns to low (0) for a longer duration, before repeating a similar pattern.

By observing the select line waveforms (S₁ and S₀), you can determine which input is active at any given time, based on the truth table for the multiplexer.

By correlating the select lines' values (S₁ and S₀) with the input values (D₀, D₁, D₂, D₃), you can deduce the output waveform, where:
- When S₁ S₀ = 00, the output Y is D₀ = 1
- When S₁ S₀ = 01, the output Y is D₁ = 0
- When S₁ S₀ = 10, the output Y is D₂ = 1
- When S₁ S₀ = 11, the output Y is D₃ = 0

Use this relationship to determine the output waveform over time.
Transcribed Image Text:**Problem #07:** For the Multiplexer shown below, you are given the following signal assignments: D₃ = 0, D₂ = 1, D₁ = 0, D₀ = 1. The select line waveforms for S₁ and S₀ are shown below. Find the output. ### Diagram Explanation: The diagram features a 4-to-1 multiplexer with the following details: - Inputs: D₀, D₁, D₂, D₃ - Select Lines: S₁, S₀ - Output: Y The table within the diagram indicates which data input (D₀, D₁, D₂, D₃) is selected based on the combination of select lines S₁ and S₀: - S₁ S₀ = 00 ➔ D₀ is selected - S₁ S₀ = 01 ➔ D₁ is selected - S₁ S₀ = 10 ➔ D₂ is selected - S₁ S₀ = 11 ➔ D₃ is selected ### Signal Waveforms: - **S₀:** Alternates between high (1) and low (0) at regular intervals, starting low. - **S₁:** Starts low and briefly transitions to high (1) for a brief period, then returns to low (0) for a longer duration, before repeating a similar pattern. By observing the select line waveforms (S₁ and S₀), you can determine which input is active at any given time, based on the truth table for the multiplexer. By correlating the select lines' values (S₁ and S₀) with the input values (D₀, D₁, D₂, D₃), you can deduce the output waveform, where: - When S₁ S₀ = 00, the output Y is D₀ = 1 - When S₁ S₀ = 01, the output Y is D₁ = 0 - When S₁ S₀ = 10, the output Y is D₂ = 1 - When S₁ S₀ = 11, the output Y is D₃ = 0 Use this relationship to determine the output waveform over time.
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