Base 4 to Octal Conversion

Convert between Base 4 and Octal quickly and accurately.

b4
oct

How to Convert Base 4 to Octal

Conversion Formula

1 b4 = 0.5 oct
1 oct = 2 b4

Example

Convert 15 b4 to oct:

15 b4 = 15 × 0.5 oct = 7.5 oct

Unit Information

Learn about the numbers units you're converting between

Base 4

b4

Definition

Base 4 is a base-4 numeral system using digits 0-9 and letters A-:. It is rarely used in practice but has theoretical applications in computer science and mathematics.

History/Origin

Base 4 systems have been studied in mathematics and computer science, though they have limited practical applications compared to more common bases like binary, decimal, or hexadecimal.

Current Use

Base 4 is used in mathematical research, theoretical computer science, and some specialized encoding applications.

Multiplier

4

Offset

0

Octal

oct

Definition

Octal is a base-8 numeral system using digits 0, 1, 2, 3, 4, 5, 6, and 7. It was historically important in early computer systems and is still used in some programming contexts.

History/Origin

Octal was widely used in early computer systems, particularly in the 1960s and 1970s. It was popular because it maps easily to binary (3 bits per octal digit).

Current Use

Octal is used in some programming languages, file permissions (Unix/Linux), and certain computer science applications.

Multiplier

8

Offset

0

Base 4 to Octal Conversion Table

Base 4 [b4] Octal [oct]
1 b4 0.5 oct
10 b4 5 oct
25 b4 12.5 oct
50 b4 25 oct
100 b4 50 oct
0 b4 0E+0 oct
-10 b4 -5 oct
-40 b4 -20 oct