Question
Download Solution PDFIf the input I = 1 and the select lines are S1 = 1, and S0 = 0, what will be the values of the four outputs in a 1-to-4 Demultiplexer?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
1-to-4 Demultiplexer
Definition: A 1-to-4 demultiplexer is a digital switch that takes a single input and directs it to one of four outputs based on the values of two select lines (S1 and S0). It is used to distribute data from one input to one of several output lines.
Working Principle: The 1-to-4 demultiplexer works by using the values of the select lines to determine which output line will receive the input signal. The select lines (S1 and S0) are binary values that can represent one of four possible combinations (00, 01, 10, 11). Based on these combinations, the input is directed to the corresponding output.
Case Analysis:
- If S1 = 0 and S0 = 0, the input I is directed to Output 0.
- If S1 = 0 and S0 = 1, the input I is directed to Output 1.
- If S1 = 1 and S0 = 0, the input I is directed to Output 2.
- If S1 = 1 and S0 = 1, the input I is directed to Output 3.
Given the input conditions: I = 1, S1 = 1, and S0 = 0, we can analyze which output will be active.
Step-by-Step Solution:
1. Identify the binary combination of the select lines:
S1 = 1 and S0 = 0 corresponds to the binary combination "10".
2. Determine which output corresponds to the binary combination "10":
From the case analysis above, we know that the combination "10" directs the input to Output 2.
3. Apply the input to the determined output:
Since I = 1, Output 2 will receive the input signal and will be set to 1, while all other outputs will remain 0.
Therefore, the output values will be:
- Output 0 = 0
- Output 1 = 0
- Output 2 = 1
- Output 3 = 0
Correct Option: Option 4 (Output 0 = 0, Output 1 = 0, Output 2 = 1, Output 3 = 0)
Last updated on Jun 7, 2025
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