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# Binary Calculator

The Binary Calculator on this page is a simple tool that allows you to quickly perform a mathematical operation on two numbers that are written in the binary system (using 0 and 1). Enter two numbers in the fields below and select the type of operation to be performed: addition, subtraction, multiplication, division, AND, OR, and XOR. The result of the operation will appear in the second field. The result will be written in binary format and in decimal format below it.

result
110100
21 + 31 = 52

The binary calculator performs mathematical operations such as addition, subtraction, multiplication, and division, as well as bitwise operations such as AND, OR, and XOR.

To perform an operation and know the result, you enter the numbers in the two boxes and select the operation you want to perform. The result will appear in the box beside the operation. The result will be in binary, of course. For your convenience, the result (and the operation) will also appear in decimal.

### The Binary Number System

Binary numbers are a number system in which all numbers are represented by strings of zeros and ones. Binary numbers are important in computer science, where they are used to represent numbers in computers and other electronic devices.

The binary number system (binary system) has only two digits for the storage of numbers: 0 and 1. It is a positional number system in which the base is the number 2.

This makes it possible for numbers to be represented by states: on and off. This allows for easy hardware implementation, and the best known application of the binary system is, of course, in computer science and digital electronics.

### Bitwise operators

In the binary system, bit operators are associated with operations on numbers. Bitwise operators are operators that are used to perform bitwise operations, that is, to operate on individual bits of a number. Bitwise operators are particularly useful in programming, especially when you want to perform operations on individual bits of a number, such as moving bits left or right, converting a number from decimal to binary or vice versa, or performing operations on numbers in binary form, such as adding or multiplying.

Below, you will find information about the three basic operations that you can perform in the calculator shown above:

• AND (&) - bitwise product - the result of this operation is that only bits included in both arguments remain included,
• OR (|) - bit sum - the result of this operation is to keep the bits which were present in at least one of the arguments,
• XOR (^) - symmetric difference - the outcome of this operation is the inclusion of bits that had different states in both arguments.

#### Applications of the Binary Calculator

The binary calculator can be a useful tool in the fields of computer science, mathematics, and electronics, especially where operations on the binary system are common. Here are some places where and for whom a binary calculator can be useful:

1. Programmers and software engineers: Programmers often need to perform operations on binary numbers, such as conversions, bit manipulations, and logic calculations. A binary calculator makes it easier for them to perform these operations, test code, and debug.
2. Computer Networks: In computer networking, IP addresses and subnet masks are often represented in binary form. A binary calculator helps you convert these addresses and subnet masks and perform logical operations on them.
3. Electronics: In electronics, especially digital circuit design, binary numbers are a mainstay. A binary calculator is useful for performing calculations on binary numbers, testing the operation of logic circuits, and analyzing their behavior.
4. Mathematics students and teachers: The binary calculator can be used by students and teachers to understand the binary system, perform conversions between different number systems, and solve mathematical problems involving binary numbers.
5. Computer science enthusiasts: Those interested in computer science, electronics and technology can enjoy experimenting with binary numbers with the Binary Calculator. They can use it to solve puzzles, create binary codes, or explore different aspects of the binary system.

The Binary Calculator is a simple but useful tool for those who study the binary system and operations on binary numbers. It allows you to convert, manipulate, and analyze binary numbers, which is important in the fields of computer science, electronics, and mathematics.

##### Binary Calculator Summary

If you want to perform operations on binary numbers quickly and easily, using our binary calculator can be very helpful. Our Binary Calculator is easy to use and available online. So you can use it from anywhere and at any time. Give our binary calculator a try and see for yourself how easy it is to perform operations on binary numbers.