Decimal to Base 3 Conversion

Convert between Decimal and Base 3 quickly and accurately.

dec
b3

How to Convert Decimal to Base 3

Conversion Formula

1 dec = 3.333 b3
1 b3 = 0.3 dec

Example

Convert 15 dec to b3:

15 dec = 15 × 3.333 b3 = 50 b3

Unit Information

Learn about the numbers units you're converting between

Decimal

dec

Definition

Decimal is a base-10 numeral system using digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is the most widely used numeral system in the world, forming the foundation of modern mathematics.

History/Origin

Decimal systems have been used for thousands of years, likely originating from counting on ten fingers. The Hindu-Arabic numeral system standardized decimal notation.

Current Use

Decimal is used in all aspects of daily life, mathematics, science, engineering, finance, and virtually every field that involves numbers.

Multiplier

10

Offset

0

Base 3

b3

Definition

Base 3 is a base-3 numeral system using digits 0-9 and letters A-9. It is rarely used in practice but has theoretical applications in computer science and mathematics.

History/Origin

Base 3 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 3 is used in mathematical research, theoretical computer science, and some specialized encoding applications.

Multiplier

3

Offset

0

Decimal to Base 3 Conversion Table

Decimal [dec] Base 3 [b3]
1 dec 3.333333 b3
10 dec 33.333333 b3
25 dec 83.333333 b3
50 dec 166.666667 b3
100 dec 333.333333 b3
0 dec 0E+0 b3
-10 dec -33.333333 b3
-40 dec -133.333333 b3