Decimal to Binary Conversion
Convert between Decimal and Binary quickly and accurately.
How to Convert Decimal to Binary
Conversion Formula
Example
Convert 15 dec to 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 |
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