Binary/Decimal Converter - Convert Binary to Decimal

What Is a Binary/Decimal Converter?

A binary/decimal converter converts numbers between binary (base-2) and decimal (base-10) number systems. Binary is the fundamental language of computers, using only two digits (0 and 1), while decimal is the number system used in everyday life. This tool is essential for computer science students, programmers, and anyone working with digital systems.

How to Use the Binary/Decimal Converter

1. Select the conversion direction — Choose "Decimal → Binary" or "Binary → Decimal".
2. Enter your value — Type the decimal or binary number you want to convert.
3. Click "Convert" — The tool instantly converts your input.
4. Copy the result — Use the "Copy Result" button to copy the output.

Binary to Decimal Reference Table

Binary	Decimal	Binary	Decimal
0	0	1010	10
1	1	1011	11
10	2	1100	12
11	3	1101	13
100	4	1110	14
101	5	1111	15
110	6	10000	16
111	7	100000	32
1000	8	1000000	64
1001	9	10000000	128

How Binary to Decimal Conversion Works

Each digit in a binary number represents a power of 2. For example, the binary number 1010 means:

• 1 × 2³ = 8
• 0 × 2² = 0
• 1 × 2¹ = 2
• 0 × 2⁰ = 0
• Total = 8 + 0 + 2 + 0 = 10

Common Binary Values

Decimal	Binary	Hexadecimal
0	0	0
1	1	1
2	10	2
3	11	3
4	100	4
5	101	5
6	110	6
7	111	7
8	1000	8
9	1001	9
10	1010	A
15	1111	F

Practical Uses

• Computer Science: Understanding how computers process data
• Programming: Working with bitwise operations and data encoding
• Digital Electronics: Understanding logic gates and circuits
• Education: Learning about different number systems
• Networking: Understanding IP addresses and subnet masks

Frequently Asked Questions