Explanation:

In digital electronics, a counter is a sequential circuit that counts the number of occurrences of an event. A counter can be implemented using flip-flops, which are basic building blocks of sequential circuits.

Modulus Counter:

A modulus counter is a type of counter that counts up to a specific modulus value before resetting back to zero. In this case, we are looking for a counter that can count up to six before resetting.

Implementing a Mod-6 Counter:

To implement a mod-6 counter using flip-flops, we need to use three flip-flops. Each flip-flop will represent a binary digit, and the combination of these flip-flops will represent the count.

Binary Representation:

The modulus value can be represented in binary as 110, which means we need three bits to represent the count from 0 to 5.

Using D Flip-Flops:

D flip-flops are commonly used to implement counters. Each D flip-flop has two inputs - D (data) and CLK (clock). The output of one flip-flop is connected to the CLK input of the next flip-flop, creating a ripple effect.

Implementing a Mod-6 Counter using D Flip-Flops:

Here is how we can implement a mod-6 counter using three D flip-flops:

- Connect the Q output of the first flip-flop to the D input of the second flip-flop.
- Connect the Q output of the second flip-flop to the D input of the third flip-flop.
- Connect the Q output of the third flip-flop to the D input of the first flip-flop.

Working:

The counter starts at 000. On the rising edge of the clock signal, the first flip-flop increments its count by 1. When the count reaches 2 (010 in binary), the second flip-flop increments its count by 1. When the count reaches 4 (100 in binary), the third flip-flop increments its count by 1.

Reset:

When the count reaches 6 (110 in binary), the counter resets back to 000 and starts counting again. This creates a mod-6 counter.

Conclusion:

Therefore, a mod-6 counter can be implemented using three flip-flops.