What Is Mod 3 Counter

It is known as ripple counter because of the way the clock pulse ripples its way through the flip-flops. The complete process is in the sequence bit pattern.

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The counter design table for such counter shows the three flip-flop and their states also 0 to 5 states as in table a the 6 inputs needed for the three flip-flops.

What is mod 3 counter. 10 3 3 remainder 1. 2 n where n number of flip-flops. When 16 is divided by 3 the quotient obtained is 5 and it leaves the remainder 1.

For example 16 mod 3 1. A modulo 3 MOD-3 counter can be made using three D-type flip-flops. First we divide 10 by 3.

These can be used to design any mod number counters ie. Steps to design Synchronous 3 bit UpDown Counter. Depending on the type of clock input counters are of two types.

The 2-bit ripple counter is called as MOD-4 counter and 3-bit ripple counter is called as MOD-8 counter. The Mod n counter can calculate from 0 to 2n-1. The circuit diagram for a Mod-12 counter is shown below.

For example a 2-bit counter that counts from 00 2 to 11 2 in binary 0 to 3 in decimal has a modulus value of 4 00 1 10 11 and return to 00. Modulus Counter MOD-N Counter The 2-bit ripple counter is called as MOD-4 counter and 3-bit ripple counter is called as MOD-8 counter. For a mod-12 counter one may skip state 12 and return to state 0 from state 11 and the cycle should continue.

Similarly with each negative transition of the output Q 0 the output Q 1 toggles and the same thing happens for Q 2 alsoHence the count sequences goes on decreasing from 7 6 5 4 3 2 1 0 7 and so. Pretty easy huh. Modulus Counters or MOD counters are defined based on the number of states that the counter will sequence before returning to its original value.

It means if we need to design mod-6 counter then it should pass through six Unique States in one Complete Counting. So in general an n-bit ripple counter is called as modulo-N counter. With each negative edge of the clock Q 0 toggles its state.

In this type of counter application this is the only time when those bits will be 1s at the same time therefore we simply feed them into an AND gate to generate the RESET control signal. Here a 16 b 3. When the counter reaches this.

Sometimes extra flip flop may be required for Re synchronization. The Modulus or MOD-number of a counter is the total number of unique states it passes through in one complete counting cycle with a mod-n counter being described also as a divide-by-n counter. The circuit design is such that the counter counts from 0 to 5 and then on the 6th count it automatically resets to begin the count again.

Hence the 3-Bit counter advances upward in sequence 01234567 or downwards in reverse sequence 76543210. There are three types of modulus counter 2-bit up or down MOD-4 3-bit up or down MOD-8 4-bit up or down MOD. Here T Flip Flop is used.

They are created by connecting multiple flip-flops to one another such that the output of one flip-flop is the input for another and by connecting the complement of the output of the last flip-flop to the input of the first flip-flop. Multiple counters are connected in series to count up to any desired number. Counters are sequential logic circuits that in digital electronics are used to count the number of times an event or instance takes place.

A counter is made by cascading a series of flip-flops. The final modulus is 2x5 or 10. In other words the modulus or just modulo is the number of states the counter counts and is the dividing number of the counter.

A 3-bit Ripple counter using JK flip-flop In the circuit shown in above figure Q0. The 74LS90 IC counter is an example of a counter circuit that requires cascading in order to obtain a decade counter. The modulus of a counter is given as.

The decade counter is formed by cascading a MOD-2 counter with a MOD-5 counter. Its an active HIGH pin. The starting count sequence is Q 2 Q 1 Q 0 111.

We simply look for the count of 3 which is 011 in binary. For a mod 6 Johnson counter 3 flip-flops are required. The number that a counter circuit can count is called Mod or Modulus.

Since we are using the sixth count. Its an active HIGH pin. Asynchronous counters are also used as Truncated counters.

The verilog HDL code of 3-bit Johnson counter is shown below. Where MOD number 2n. Pin 2 is a reset pin used to reset the counter in case of any requirement.

Hence there are 6 uniques numbers of states. The mathematical representation of the modulo function is given as a mod b where a and b are two numbers. The IC consist of multiple mod counters The Pin 1 is used to give the pulse to mod eight counter.

Here we are performing 3 bit or mod-8 Up or Down counting so 3 Flip Flops are required which can count up to 2 3 -1 7. Johnson Counter Verilog Code. Lets do this for 10 mod 3.

A modulo 6 MOD-6 counter circuit known as divide-by-6 counter can be made using three D-type flip-flops. We see that the remainder is 1 which is the second step and this tells us that 10 mod 3 1. Modulus of Counter is the total number of Unique States it should pass through in one complete Counting Cycle.

Decide the number and type of FF. The flip-flop inputs needed to step up the counter from the current to the next state have been worked out along with the assist of the excitation table illustrated in the table. So in general an n-bit ripple counter is called as modulo-N counter.

The MOD of the 3-bit johnson counter is 6. If the noof bits or flip-flops is n then the johnson counter countess 2n events or states or cycles. Mod 4 or odd Mod ex.

Its an active LOW pin. It is also known as MOD n counter. How does a 3 bit ripple counter work.

Introduction counters which advance their sequence of numbers or states when activated by a clock input are said to operate in a count- up mode. The modulo is defined as a remainder value when two numbers are divided. If a counter resets itself after counting n bits is called Mod- n counter Modulo- n counter where n is an integer.

This counter counts 0 1 2 15 and then it resets to 0. As we know flip-flops have a clock input. Hence the 16 mod 3 is equal to 1.

Since the outputs are taken from the complements of the flip-flops. Mod represent Modulus of Counter and n belongs to an integer. It is obvious that a mod-12 counter will require 4 flip-flops which when connected as a counter will provide 16 states.

Therefore be called a modulo-4 or mod-4 counter. Pin 3 is the second reset pin used to reset the counter. To count the sequence of truncated counters mod is not equal to 2n we need additional feedback logic.

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