A 3-bit gray counter is used to control the output of the multiplexer as shown in the figure below. The initial state of the counter is 000. The output is pulled high when multiplexer is not enabled. The output of the circuit follows the sequence :

Explanation:

3-bit Gray Counter Controlled Multiplexer

Definition: A 3-bit Gray counter is a type of binary counter in which two successive values differ in only one bit. This counter is used to control the output of a multiplexer, which selects one of several input signals and forwards the selected input to a single output line.

Working Principle: In the given scenario, the 3-bit Gray counter is used to control the multiplexer’s output. The counter starts from an initial state of 000 and goes through a sequence of states where only one bit changes at a time. The output of the multiplexer is pulled high when it is not enabled.

The Gray code sequence for a 3-bit counter is as follows:

• 000
• 001
• 011
• 010
• 110
• 111
• 101
• 100

Sequence Analysis:

With the initial state of the counter being 000, the multiplexer will follow the Gray code sequence mentioned above. The multiplexer is enabled only for certain states, and the output is high (1) when it is not enabled. Let’s analyze the sequence step-by-step:

1. 000: Multiplexer selects I0.
2. 001: Multiplexer is not enabled, output is 1.
3. 011: Multiplexer is not enabled, output is 1.
4. 010: Multiplexer selects I1.
5. 110: Multiplexer selects I3.
6. 111: Multiplexer is not enabled, output is 1.
7. 101: Multiplexer is not enabled, output is 1.
8. 100: Multiplexer selects I2.

Based on this analysis, the output sequence of the circuit is:

I0, 1, 1, I1, I3, 1, 1, I2

Correct Option Analysis:

The correct option is:

Option 1: I0, 1, 1, I1, I3, 1, 1, I2

This option correctly describes the output sequence of the multiplexer controlled by the 3-bit Gray counter