You can modify the input to output relationship of an existing flip flop by adding logic gates and appropriate interconnections.
T flip flop counter truth table.
To design a synchronous up counter first we need to know what number of flip flops are required.
Which means that this is a counter with three flip flops which means three bits having eight stable states 000 to 111 and capable of counting eight events or up to the decimal number 1 7.
The q and q represents the output states of the flip flop.
With such configuration the upper circuit shown in the image became modulo 10 or a decade counter.
From the above truth table we draw the k maps and get the expression for the mod 6 asynchronous counter.
These are the following steps to design a 4 bit synchronous up counter using t flip flop.
From the equation above.
Introduction to t flip flop contribute.
The truth table of a t flip flop is shown below.
A logic low input causes the t flip flop to maintain its current output state.
For example consider a t flip flop made of nand sr latch as shown below.
Mod 6 asynchronous counter will require 3 flip flops and will count from 000 to 101.
When the flip flops reset the output from d to a all became 0000 and the output of nand gate reset back to logic 1.
This modified form of jk flip flop is obtained by connecting both inputs j and k together.
Rest of the states are invalid.
Here is the same information in truth table form.
A t flip flop is like jk flip flop.
Truth table of t flip flop.
To design the combinational circuit of valid states following truth table and k map is drawn.
Thus n 3.
We can find out by considering a number of bits mentioned in the question so in this we required to make 4 bit counter so the number of flip flops required is 4 2 n where n is a number of bits.
Truth table of t flip flop.
According to the table based on the input the output changes its state.
The clock signal is directly applied to the first t flip flop.
All these flip flops are negative edge triggered but the outputs change asynchronously.
As mentioned earlier t flip flop is an edge triggered device.
These are basically a single input version of jk flip flop.
The 3 bit asynchronous binary up counter contains three t flip flops and the t input of all the flip flops are connected to 1.
From sr or jk to t.
This flip flop has only one input along with the clock input.