Hard
EST. TIME: 45 minCode Conversion (Binary to Gray & Gray to Binary)
To perform code conversion: Binary to Gray and Gray to Binary.
Theory
Code Converters translate one binary code format to another.
Binary to Gray: G3=B3, G2=B3⊕B2, G1=B2⊕B1, G0=B1⊕B0.
Gray to Binary: B3=G3, B2=B3⊕G2, B1=B2⊕G1, B0=B1⊕G0.
Gray codes are used to prevent spurious output in switches and counters.
Procedure
- Construct the circuit using XOR gates (7486).
- For Binary to Gray: Connect binary inputs to XOR gates as per logic.
- For Gray to Binary: Connect gray code inputs to XOR gates.
- Apply 4-bit numbers and observe the converted output.