Enter the values into the base calculator and click on “Calculate” to perform arithmetic operations on different base number systems.
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This base calculator is designed to perform arithmetic operations on numbers represented in different base systems. With the help of our tool, you can also convert one base into another.
A base or radix indicates a count of different digits representing numbers within a positional numeral system.
There are four most common bases that include:
Arithmetic operations (addition, subtraction, multiplication, and division) can be performed on different bases, but they need to understand the given below rules:
In addition to the mathematical operations, the modulus operations are also considered by the base calculator. This modulus principle short form “mod” yields the remainder when a number is divided by the base.
The mod is used in the base number system to determine the remainder after division. It works with the data represented in various numeral systems.
Binary (Base2)  Decimal (Base10)  Octal (Base8) 
Hexadecimal (Base16)

0  0  0  0 
1  1  1  1 
10  2  2  2 
11  3  3  3 
100  4  4  4 
101  5  5  5 
110  6  6  6 
111  7  7  7 
1000  8  10  8 
1001  9  11  9 
1010  10  12  A 
1011  11  13  B 
1100  12  14  C 
1101  13  15  D 
1110  14  16  E 
1111  15  17  F 
10000  16  20  10 
10001  17  21  11 
10010  18  22  12 
10011  19  23  13 
10100  20  24  14 
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