It is required to design a (two -input) logic gate, using an appropriate number, of :
(a) NAND gates that gives a 'low' output only when both the inputs are 'low'.
(b) NOR gates that gives a 'high' output only when both the inputs are 'high'.
Draw the logic circuits for these two cases and write the truth table, corresponding to each of the two designs.

Explanation

To solve the problem, we need to design two types of logic gates using NAND and NOR gates, and create corresponding truth tables for each design.

### Part (a): Designing a NAND Gate Circuit

**Objective:** Create a logic gate using NAND gates that gives a 'low' output only when both inputs are 'low'.

**Step 1:** Identify the required output condition.
- The output should be 'low' (0) only when both inputs (A and B) are 'low' (0, 0). In all other cases, the output should be 'high' (1).
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