tools.binaryToOctal
이진수를 8진수(0o)로 변환합니다. 3비트 트리플렛 묶음, UNIX chmod 파일 권한 매핑 및 단계별 연산 과정을 제공합니다.
calc.steps — Binary to Octal
3-Bit Binary to Octal Conversion Chart
Each 3-bit binary triplet maps directly to one Base-8 octal digit (0–7) and corresponds to standard UNIX chmod permissions.
| 3-Bit Binary | Octal Digit | Decimal | UNIX Permission | Action |
|---|---|---|---|---|
| 000 | 0 | 0 | --- | |
| 001 | 1 | 1 | --x (Execute) | |
| 010 | 2 | 2 | -w- (Write) | |
| 011 | 3 | 3 | -wx (Write + Exec) | |
| 100 | 4 | 4 | r-- (Read) | |
| 101 | 5 | 5 | r-x (Read + Exec) | |
| 110 | 6 | 6 | rw- (Read + Write) | |
| 111 | 7 | 7 | rwx (All Permissions) |
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Frequently Asked Questions
Everything you need to know about decimal conversions, accuracy, and formulas.
01How do you convert binary to octal?▼
To convert binary to octal: 1) Group binary digits into sets of 3 bits (triplets) starting from the radix point to the left for integers, padding the left with zeros if necessary. 2) For fractional parts, group bits in sets of 3 from left to right, padding right with zeros. 3) Replace each 3-bit group with its single octal digit equivalent (0 to 7).
02Why is octal grouped into 3 bits?▼
Because 2³ = 8. Base-8 (octal) has 8 distinct digits (0-7), which corresponds exactly to all possible permutations of 3 binary bits (000₂ through 111₂).
03How does binary-octal conversion relate to UNIX permissions?▼
In UNIX and Linux systems, file permissions (Read=4/100₂, Write=2/010₂, Execute=1/001₂) are grouped into 3-digit octal numbers for User, Group, and Others. For instance, binary 111 101 101 corresponds to octal 755 (rwxr-xr-x).