DLD

Code Conversion (Binary to Gray & Gray to Binary)

Hard
EST. TIME: 45 min

Code Conversion (Binary to Gray & Gray to Binary)

Design of 4-bit Binary to Gray Code Converter.

Theory & Concepts

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1. Binary vs Gray Code

Gray code is a non-weighted binary code in which two successive values differ in only one bit. It is widely used in error correction in digital communications.

2. Conversion Logic

  • G3 = B3 (MSB remains same)
  • G2 = B3 ⊕ B2
  • G1 = B2 ⊕ B1
  • G0 = B1 ⊕ B0

Procedure

  1. Apply 4-bit binary input B3 B2 B1 B0.
  2. Pass the inputs through XOR gates as per the conversion logic.
  3. Verify the resulting Gray code G3 G2 G1 G0.

Learning Resources

Animated Lecture

Code Converters

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Lab Status

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