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Binary Number Conversion Tools

Binary Converters & Calculators

Convert binary numbers instantly to decimal, hexadecimal and octal, or convert decimal, hexadecimal and octal values back to binary. BinaryCon provides free, accurate browser-based number conversion tools for students, developers, programmers and digital-system work.

01 Exact conversion
0x Developer-friendly
Large values
Binary Number Quick Converter
READY
CONVERT FROM
Digits 0 and 1 only
BASE 2
Try: 101101 Spaces and underscores accepted
CONVERSION RESULT Calculated in your browser
DECIMAL
BIT WIDTH
HEX DIGITS
DECIMAL
HEXADECIMAL
OCTAL
BINARY BITS
BINARY
ASCII / BYTE
Runs directly in your browser FREE · UNLIMITED
Quick Binary Reference

Common Binary Conversions – Binary to Decimal, Hex & Octal

Quickly compare common binary numbers with their decimal, hexadecimal and octal equivalents. These examples provide a simple reference for understanding base-2 values across common number systems. For any value, use our Binary Converter above to calculate the conversion instantly.

Popular Binary Values Binary • Decimal • Hexadecimal • Octal
Binary Decimal Hexadecimal Octal
0 0 0 0
1 1 1 1
10 2 2 2
100 4 4 4
1000 8 8 10
1010 10 A 12
1111 15 F 17
10000 16 10 20
101101 45 2D 55
11111111 255 FF 377
100000000 256 100 400
1111111111 1023 3FF 1777
How to read the chart: each row represents exactly the same numerical value in four different number systems. For example, binary 101101, decimal 45, hexadecimal 2D and octal 55 all represent the same value. Use the converter at the top of BinaryCon whenever you need to calculate a value that is not listed here.
01 Binary Basics

How Do Binary Numbers Work?

Binary is a base-2 number system that uses only 0 and 1. Each digit represents a power of two, allowing binary values to represent numbers and digital data.

Number System: Base 2
Example: Convert 101101 to Decimal Read place values from right to left
2^5 1 32
2^4 0 0
2^3 1 8
2^2 1 4
2^1 0 0
2^0 1 1
32 + 0 + 8 + 4 + 0 + 1 = 45
101101 = 45

Each position has a value.

Starting from the right, binary positions represent 1, 2, 4, 8, 16, 32 and increasingly larger powers of two. Add the place values where the binary digit is 1 to find the decimal value.

2x Each position to the left is worth twice the previous position.
0 & 1 Two Digits
2^n Place Values
Base 2 Binary System
101101 Equals 45
01 Quick Reference

Binary Conversion Reference Chart

Compare decimal, binary, octal and hexadecimal values from 0 to 15 using this compact number-system reference chart.

Reference Range: 0-15
Decimal Binary Octal Hex
0 0000 0 0
1 0001 1 1
2 0010 2 2
3 0011 3 3
4 0100 4 4
5 0101 5 5
6 0110 6 6
7 0111 7 7
Decimal Binary Octal Hex
8 1000 10 8
9 1001 11 9
10 1010 12 A
11 1011 13 B
12 1100 14 C
13 1101 15 D
14 1110 16 E
15 1111 17 F
Base 2 Binary
Base 8 Octal
Base 10 Decimal
Base 16 Hexadecimal
Why BinaryCon

Fast, Simple & Practical Binary Tools

BinaryCon is designed to make binary conversion, calculation and learning easier with fast browser-based tools, clear results and a mobile-friendly interface.

Built for Everyday Use
Fast Browser Calculations Get results instantly without waiting for complex server processing.
Free Unlimited Use Use BinaryCon tools whenever you need them without calculation limits.
Mobile Friendly Compact layouts are optimized for phones, tablets and desktop screens.
No Signup Required Open a tool and start calculating without creating an account.
01
Clear Binary Results Inputs, outputs and supporting values are presented in an easy-to-read format.
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Useful for Learning & Coding Helpful for students, developers, programmers and digital electronics work.
300+ Digital Tools
13 Tool Groups
Free Online Access
Fast Instant Results
? Binary Help

Binary Converter & Calculator FAQs

Learn the basics of binary conversion, binary calculation and number systems with quick answers to common questions.

Quick Binary Guide

Free Online Binary Conversion & Calculation

BinaryCon provides online tools for converting and calculating binary values across common number systems and digital formats. You can work with binary, decimal, hexadecimal, octal, ASCII and other binary-related representations.

Binary numbers use only the digits 0 and 1. Each position represents a power of two, which allows binary values to store numbers, characters, logical states and digital information used by computers and electronic systems.

BinaryCon also supports binary arithmetic and bitwise operations, making it useful for students, programmers, developers, engineers and anyone learning how digital number systems work.

Binary Converter Binary Calculator Binary to Decimal Decimal to Binary Binary Arithmetic Bitwise Operations Binary to Hex Binary to Octal
What is a binary number?
A binary number is a base-2 number that uses only the digits 0 and 1. Each position represents a power of two.
How do I convert binary to decimal?
Multiply each binary digit by its corresponding power of two and add the values where the digit is 1. For example, 101101 equals decimal 45.
How do I convert decimal to binary?
A decimal number can be converted to binary by repeatedly dividing it by 2 and reading the remainders in reverse order.
What is the difference between binary and hexadecimal?
Binary uses base 2 with digits 0 and 1, while hexadecimal uses base 16 with digits 0-9 and letters A-F. One hexadecimal digit represents four binary bits.
What is binary arithmetic?
Binary arithmetic includes operations such as binary addition, subtraction, multiplication, division and modulo using binary values.
What are bitwise operations?
Bitwise operations work directly on individual bits. Common operations include AND, OR, XOR, NOT, left shift, right shift and bitmask operations.
Can binary represent text?
Yes. Character encodings such as ASCII assign numerical values to characters, and those values can be represented as binary.
Are BinaryCon tools free to use?
Yes. BinaryCon provides browser-based binary conversion and calculation tools that can be used without creating an account.
Do I need to install software to use BinaryCon?
No. The tools are designed to work directly in a modern web browser on desktop, tablet and mobile devices.
Who can use BinaryCon?
BinaryCon can be useful for students, programmers, developers, digital electronics learners and anyone working with binary or related number systems.
Base 2 Binary
Base 10 Decimal
Base 16 Hex
Base 8 Octal
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