2進数から8進数へ変換
2進数ビット列を8進数(0o)へ変換。3ビットごとのトリプレット分割、UNIX chmodパーミッションマッピング、計算ステップを表示します。
ステップ解説 — 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) |
関連する計算・変換ツール
Convert raw binary bitstreams into Decimal, Hexadecimal nibbles, and Octal UNIX permissions with step-by-step proofs.
分数計算機
Add, subtract, multiply, divide & simplify fractions
分数から小数へ変換
Convert fractions & mixed numbers to exact decimals & repeating cycles
小数から分数へ変換
Mixed & improper fractions with GCD steps
16進数から10進数へ変換
Convert Base-16 (0x) to Base-10 decimals with power expansion
10進数から16進数へ変換
Base-16 hex with byte spacing & RGB preview
2進数から10進数へ変換
Convert base-2 bits to base-10 decimal & fractions
2進数から16進数へ変換
Convert 4-bit nibbles to Base-16 hexadecimal (0x)
ASCIIから2進数へ変換
Convert ASCII text and Unicode characters to 8-bit binary bits
ASCIIから10進数へ変換
Convert ASCII text and Unicode characters to decimal byte sequences
10進数からASCIIテキストへ変換
Convert decimal codes & byte arrays to ASCII text
10進数から2進数へ変換
Base-2 bits & IEEE-754 32-bit float inspection
小数からパーセントへ変換
Percentage, basis points (bps) & gauge
小数からインチ(分数)へ変換
1/16″ to 1/64″ fractional inches & metric ruler
小数から分・時間へ変換
HH:MM:SS timecodes & payroll work logs
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).