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# Binary Calculator

Enter the 1st and 2nd binary numbers and choose a math operation in this binary operation calculator. After then click the calculate button to perform that operation.

## Binary Calculator

You can perform different math operations on binary numbers like addition, subtraction, multiplication, division, and many others using this binary calculator.

## Binary System - What are the binary numbers?

Humans have invented various number systems for different uses. One such system is the **binary system**. The digits used in a binary system are called **binary numbers**.

It is very similar to the number system we daily use aka the decimal system. But it has only **2 **digits, unlike the decimal system which has **10 **digits. The digits of the binary system are **1** and **0**.

The binary system has more use in computers and similar devices. The one’s complement and 2’s complement of the binary system have vast applications.

## Math Operations on Binary Numbers:

Adding and subtracting binary numbers is very easy. It is done in the same way as in the decimal system. Below you can see the examples of addition and subtraction.

**How to add binary numbers?**

In this operation, the first digit is added to the first, the second into the second, and so on. There are two rules for adding binary numbers;

- One plus one makes a ten.
- One plus zero is one.

**Note:** Start adding from right to left.

**Example:**

Add the binary **00100 **and **11111**.

**Solution:**

^{ 1}0 ^{1}0 1 0 0

+ 1 1 1 1 1

____________

**1 0 0 0 1 1 **

**How to subtract binary numbers?**

While subtracting binary numbers, when **1 **is subtracted from **0**, a **1 **is taken from the previous number. The answer to this case will be `1 (0 - 1= 1`

(borrow **1**)).

To understand clearly, see this example:

**Example:**

Subtract **01000 **from **01101**.

**Solution: **

0 1 1 ^{1}0 1

- 0 1 0 1 0

___________

** 0 0 0 1 1 **