Binary Calculator

This Binary Calculator allows you to Add, Subtract, Multiply, Divide, AND, OR and XOR binary and decimal numbers. Also Binary conversion between binary and decimal numbers.

First Binary Value: Operation: Second Binary Value:

Result

–

Decimal Values: –

Decimal to Binary Converter

Decimal Value:

Result

Binary Value: –

Binary to Decimal Converter

Binary Value:

Result

Decimal Value: –

How To Use The Binary Calculator

Add First Binary Value number only 0 or 1.
Select an operation (+, – *, /, OR,XOR,AND).
Add Second Binary Value number only 0 or 1.
Click ‘Calculate’ to perform the operation.
Results will show in bellow.

Example

Results

Binary Values:110010 + 11100001
Result in Binary Number: 100010011
Result Decimal Values: 50 + 22 = 275

Binary/Decimal Conversion

Decimal	Binary
0	0
1	1
2	10
3	11
4	100
7	111
8	1000
10	1010
16	10000
20	10100

What is Binary System

The binary system is a numerical system that functions virtually identically to the decimal number system that people are likely more familiar with. While the decimal number system uses the number 10 as its base, the binary system uses 2. Furthermore, although the decimal system uses the digits 0 through 9, the binary system uses only 0 and 1, and each digit is referred to as a bit. Apart from these differences, operations such as addition, subtraction, multiplication, and division are all computed following the same rules as the decimal system.

Almost all modern technology and computers use the binary system due to its ease of implementation in digital circuitry using logic gates.

It is much simpler to design hardware that only needs to detect two states, on and off (or true/false, present/absent, etc.). Using a decimal system would require hardware that can detect 10 states for the digits 0 through 9, and is more complicated.