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Octal to Gray Code Converter
Convert octal to reflected binary Gray code online with exact BigInt XOR, strict base-8 validation, large-integer support, and optional 0b output.
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Convert Octal to Gray Code
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Detailed conversion guide
How to Convert Octal to Gray Code
Parse the octal integer exactly, express it as binary, then compute Gray code with gray = n XOR (n >> 1).
Octal 12 equals decimal 10 and binary 1010. XOR with 0101 produces reflected Gray code 1111.
| Input | Output | Meaning |
|---|---|---|
0 | 0 | zero boundary |
1 | 1 | one boundary |
12 | 1111 | exact conversion |
17 | 1000 | exact conversion |
Octal to Gray Code with BigInt
BigInt keeps large octal integers exact, and the reflected Gray formula uses only integer bit operations.
const value = BigInt('0o' + octal);
const gray = value ^ (value >> 1n);
const bits = gray.toString(2);Valid Octal Digits and Gray Width
Only non-negative base-8 integers are accepted. Digits 8 and 9, negative signs, fractions, and exponential notation are rejected.
Minimal output omits leading zeros. A 0b prefix labels the representation but does not change the Gray code value.
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