Design procedure of a Combinational Circuit

Designing a combinational circuit involves several steps. Here's a step-by-step procedure:

1. Problem Definition: Clearly define the problem. Understand the number of inputs and outputs and how they are related.

2. Truth Table Construction: Based on the problem definition, construct a truth table. The truth table should cover all possible combinations of inputs and their corresponding outputs.

3. Boolean Expression Derivation: From the truth table, derive the Boolean expression. This can be done using methods like Karnaugh map (K-map) or Quine-McCluskey tabulation method.

4. Simplification of Boolean Expression: Simplify the derived Boolean expression using Boolean algebra rules. The aim is to minimize the number of gates and inputs.

5. Logic Circuit Diagram: Draw the logic circuit diagram based on the simplified Boolean expression. Use the appropriate logic gates.

6. Optimization: Optimize the circuit for parameters like speed, power consumption, size, etc. This step might involve using more complex gates or gate combinations.

7. Implementation and Testing: Implement the circuit physically using the required components and test it to ensure it works as expected.

Remember, the design of a combinational circuit can be complex and requires a good understanding of digital logic and Boolean algebra.