Question
Download Solution PDFThe grey code for decimal 7 is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 3: 0100
Key Points
- Gray Code is a binary numeral system where two successive values differ in only one bit (also known as reflected binary code).
- To convert binary to Gray Code:
- Keep the most significant bit (MSB) the same.
- For the remaining bits: each bit = previous binary bit XOR current binary bit.
Step-by-Step Conversion:
- Decimal 7 in binary =
0111 - Now convert
0111to Gray Code:- First bit (MSB) = 0
- Second bit = 1 XOR 0 = 1
- Third bit = 1 XOR 1 = 0
- Fourth bit = 1 XOR 1 = 0
- Gray Code = 0100
Additional Information
- Gray Code is used in error correction and minimizing transitions in digital circuits.
- Binary to Gray Code formula:
Gray[i] = Binary[i] XOR Binary[i-1]
Hence, the correct answer is: option 3: 0100
Last updated on Jul 3, 2025
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