The number of flip-flops in the counter determines its counting range. A 3-bit UP counter, for example, has three flip-flops and can count from 0 to 7 (2^3 - 1). The block diagram of 3-bit UP counter is given below:
[Image of a 3-bit UP counter block diagram]
The operation of 3-bit UP counter can be explained as follows:
1. Initially, all the flip-flops are reset to 0, so the counter output is 000.
2. When a positive-edge triggered clock pulse is applied, Q0 is toggled from 0 to 1, and the output becomes 001.
3. The next clock pulse causes Q0 to toggle back to 0, and Q1 is toggled from 0 to 1, resulting in an output of 010.
4. The third clock pulse toggles Q1 back to 0 and sets Q2 to 1, giving an output of 011.
5. This sequence continues, and the counter output increments by one for each clock pulse until it reaches its maximum count of 111 (7) in binary.
6. The next clock pulse resets all flip-flops to 0, and the counter returns to its initial state.
UP counters have several applications, including:
1. Frequency measurement
2. Event counting
3. Digital clocks
4. Timers
5. Instrumentation and measurement systems