4. The following Data input and data select waveforms are applied to a Multiplexer. Determine the output waveform. Do Dy So

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The problem presents a scenario where data input and data select waveforms are applied to a multiplexer, and the task is to determine the output waveform.

### Data Inputs and Select Lines

The image shows a waveform graph with four data inputs (\(D_0\), \(D_1\), \(D_2\), \(D_3\)) and two select lines (\(S_0\), \(S_1\)).

#### Data Inputs:
- \(D_0\): Alternates between high and low, with longer low periods and shorter high periods.
- \(D_1\): Alternates with a pattern of high-low-high, followed by a longer low period.
- \(D_2\): Mostly high with brief low intervals.
- \(D_3\): Long high periods with evenly spaced low intervals.

#### Select Lines:
- \(S_0\) and \(S_1\) cycle through a binary count from 00 to 11, determining which data input is selected at any moment.

### Multiplexer Logic
The select lines \(S_0\) and \(S_1\) dictate the output based on the binary combination:
- 00 selects \(D_0\)
- 01 selects \(D_1\)
- 10 selects \(D_2\)
- 11 selects \(D_3\)

By observing the waveform timing and values of \(S_0\) and \(S_1\), the output waveform can be constructed by switching to the corresponding data input at each interval when the select lines change state.
Transcribed Image Text:The problem presents a scenario where data input and data select waveforms are applied to a multiplexer, and the task is to determine the output waveform. ### Data Inputs and Select Lines The image shows a waveform graph with four data inputs (\(D_0\), \(D_1\), \(D_2\), \(D_3\)) and two select lines (\(S_0\), \(S_1\)). #### Data Inputs: - \(D_0\): Alternates between high and low, with longer low periods and shorter high periods. - \(D_1\): Alternates with a pattern of high-low-high, followed by a longer low period. - \(D_2\): Mostly high with brief low intervals. - \(D_3\): Long high periods with evenly spaced low intervals. #### Select Lines: - \(S_0\) and \(S_1\) cycle through a binary count from 00 to 11, determining which data input is selected at any moment. ### Multiplexer Logic The select lines \(S_0\) and \(S_1\) dictate the output based on the binary combination: - 00 selects \(D_0\) - 01 selects \(D_1\) - 10 selects \(D_2\) - 11 selects \(D_3\) By observing the waveform timing and values of \(S_0\) and \(S_1\), the output waveform can be constructed by switching to the corresponding data input at each interval when the select lines change state.
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