Convert, Calculate & Perform Bitwise Operations Instantly
About This Binary Calculator Tool
Our Binary Calculator is a versatile online tool designed for students, programmers, and electronics enthusiasts. It allows you to convert binary numbers to decimal, hexadecimal, and octal formats instantly, perform binary arithmetic operations (addition, subtraction, multiplication, division), and execute bitwise operations like AND, OR, XOR, NOT, left shift, and right shift — all in one place.
What is a Binary Number?
A binary number is a number expressed in the base-2 numeral system, which uses only two symbols:
0 (zero) and 1 (one). Each digit in a binary number is called a bit.
Binary is the foundation of all modern digital computers and electronic systems because it maps perfectly to
the on/off states of transistors.
How to Use the Binary Calculator
- Converter Tab: Type a binary number to instantly see its decimal, hexadecimal, and octal equivalents. You can also enter a decimal number to convert it to binary.
- Arithmetic Tab: Enter two binary numbers, choose an operation (+, −, ×, ÷), and click Calculate to get the result in both binary and decimal.
- Bitwise Tab: Input one or two binary values and select a bitwise operation to see the result. The NOT operation works on the first operand only.
Common Use Cases
- Students: Learning number systems and computer science fundamentals.
- Programmers: Debugging bit manipulation code and understanding binary representations.
- Electronics Engineers: Working with digital circuits, logic gates, and microcontroller programming.
- Network Engineers: Calculating subnet masks and IP address conversions.
Binary Conversion Table (Quick Reference)
| Decimal | Binary | Hex | Octal |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 2 | 10 | 2 | 2 |
| 5 | 101 | 5 | 5 |
| 10 | 1010 | A | 12 |
| 15 | 1111 | F | 17 |
| 42 | 101010 | 2A | 52 |
| 255 | 11111111 | FF | 377 |
Use the converter tab above to find any binary conversion instantly!
