Octal to Binary Converter

Write down the octal number

Convert each octal digit to its 3-bit binary equivalent

Combine all the 3-bit groups to get the final binary number

Remove any leading zeros if desired (optional)

Step 1: Convert each digit

7₈ = 111₂

5₈ = 101₂

Step 2: Combine results

75₈ = 111101₂

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

Octal notation is commonly used for Unix file permissions. Each digit represents permissions for user, group, and others:

755₈ = 111 101 101₂

User (7): 111 = rwx (read, write, execute)

Group (5): 101 = r-x (read, execute)

Others (5): 101 = r-x (read, execute)

644₈ = 110 100 100₂

User (6): 110 = rw- (read, write)

Group (4): 100 = r-- (read)

Others (4): 100 = r-- (read)

7 → 111

10 → 001000

77 → 111111

100 → 001000000

377 → 011111111

777 → 111111111