Decimal to Binary Conversion

Convert between Decimal and Binary quickly and accurately.

dec
bin

How to Convert Decimal to Binary

Conversion Formula

1 dec = 5 bin
1 bin = 0.2 dec

Example

Convert 15 dec to bin:

15 dec = 15 × 5 bin = 75 bin

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

Binary

bin

Definition

Binary is a base-2 numeral system using only digits 0 and 1. It is fundamental to computer science and digital electronics, representing data in the most basic form that computers can process.

History/Origin

Binary notation was developed by Gottfried Leibniz in the 17th century, though the concept dates back to ancient civilizations. It became essential with the advent of digital computers in the 20th century.

Current Use

Binary is used in computer programming, digital circuits, data storage systems, and all digital technology. It forms the foundation of how computers process and store information.

Multiplier

2

Offset

0

Decimal to Binary Conversion Table

Decimal [dec] Binary [bin]
1 dec 5 bin
10 dec 50 bin
25 dec 125 bin
50 dec 250 bin
100 dec 500 bin
0 dec 0E+0 bin
-10 dec -50 bin
-40 dec -200 bin