Binary to Octal Converter

Convert binary numbers to octal (base-8) instantly. Free online binary to octal calculator with conversion table, examples, and step-by-step guide.

💡 Enter binary → get octal. Example: "111010" → "72".

From

To

Binary Input

0

Octal Output

How to Convert Binary to Octal

Step-by-step guide with examples

Input

Convert

Result

1

What is Binary to Octal Conversion?

Binary to octal conversion transforms base-2 numbers into base-8 numbers. Octal uses digits 0-7. Since 8=2³, every 3 binary digits map directly to one octal digit, making this conversion straightforward by grouping bits in threes.

2

How to Convert Binary to Octal Step-by-Step

1. Group binary digits into sets of 3, starting from the right. 2. Pad with leading zeros if needed. 3. Convert each 3-bit group to its octal digit (0-7). 4. Combine the octal digits. Example: 111010 Group: 111 010 Convert: 7 2 Result: 72

3

Binary to Octal Table

• 000 = 0 • 001 = 1 • 010 = 2 • 011 = 3 • 100 = 4 • 101 = 5 • 110 = 6 • 111 = 7

4

Common Use Cases

• Unix/Linux file permissions (chmod 755 = 111 101 101). • Legacy computing systems that used octal. • Digital electronics and PLC programming. • Shorthand for binary in some embedded systems.

Frequently Asked Questions

6 common questions answered

6 Questions6 AnswersClick to expand

Q1How to convert binary to octal?

Group binary digits into sets of 3 from the right, then convert each group to its octal digit (0-7). Example: 110100 → 110=6, 100=4 → octal 64.

Q2What is 1010 binary to octal?

1010 in binary = 12 in octal. Group: 001 010 → 1 2 → 12.

Q3What is 1111 binary to octal?

1111 in binary = 17 in octal. Group: 001 111 → 1 7 → 17.

Q4How to convert binary into octal?

Split the binary number into groups of 3 bits from right to left. Convert each group using: 000=0, 001=1, 010=2, 011=3, 100=4, 101=5, 110=6, 111=7.

Q5What is binary to octal conversion method?

The method is simple: group every 3 binary digits and map to octal. This works because 2³=8. For 10101: pad to 010 101 → 2 5 → octal 25.

Q6What is 1001 binary to octal?

1001 in binary = 11 in octal. Group: 001 001 → 1 1 → 11.

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