We convert the problem into a truth table, then draw K-map for the truth table, and then finally draw the gate level circuit for the problem. Similarly we have a flow for the sequential circuit design.

**SEQUENTIAL CIRCUITS DESIGN **

We saw in the combinational
circuits section how to design a combinational circuit from the given problem.
We convert the problem into a truth table, then draw K-map for the truth table,
and then finally draw the gate level circuit for the problem. Similarly we have
a flow for the sequential circuit design. The steps are given below.

·
Draw state diagram.

·
Draw the state table (excitation table) for each
output.

·
Draw the K-map for each output.

·
Draw the circuit.

·
**State Diagram **-The
state diagram is constructed using all the states of the sequential circuit in**
**question. It builds up the relationship between various states and also
shows how inputs affect

the states.

**Let’s consider ****the ****designing ****2 ****bit up ****counter **(Binary
counter is one which counts a binary** **sequence)
using the T flip-flop.

·
**State Table **- The
state table is the same as the excitation table of a flip-flop, i.e. what
inputs** **need to be applied to get the required output. In other words
this table gives the inputs required to produce the specific outputs.

**K-map **-The K-map is the same as the
combinational circuits K-map. Only difference: we draw** **K-map for the
inputs i.e. T1 and T0 in the above table. From the table we deduct that we
don't need to draw K-map for T0, as it is high for all the state combinations.
But for T1 we need to draw the K-map as shown below, using SOP.

·
**Circuit- **There is nothing special
in drawing the circuit, it is the same as any circuit drawing** **from K-map
output. Below is the circuit of 2-bit up counter using the T flip-flop.

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

Digital Principles and System Design : Synchronous Sequential Logic : Sequential Circuits Design |

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