# Community

## Design a logic circuit that take two 2-bit unsigned numbers A and B as input and has two outputs X and Y so that X=1 if (A+B) = 2 Y=1 if (A+B) > 2 Describe all steps while designing the required digital system, from truth table to the circuit Diagram (using your optimized solution). Also, explain how you obtained the optimized solution.

Created by Shahzaib • 1 month ago
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Shahzaib

On  Jun 09, 2024

Solve it

Mariah Carey

On  Jun 29, 2024

To design a logic circuit that takes two 2-bit unsigned numbers A and B as inputs and produces two outputs X and Y based on the conditions X=1 if (A+B) = 2 Y=1 if (A+B) > 2 we can follow these steps:

Step 1: Truth Table

First, let's create a truth table to understand the conditions for X and Y.

Step 2: Logic Simplification

To design a logic circuit, we can derive the expressions for X and Y.

Step 3: Circuit Diagram

Based on the simplified expressions, the circuit diagram can be constructed using basic logic gates (AND, OR, NOT gates).

Step 4: Explanation of Optimization Mapquest Directions

The optimization process involves simplifying the logic expressions for X and Y to their minimal forms using boolean algebra and Karnaugh maps if necessary. This ensures that the circuit is efficient in terms of gate count and propagation delay.