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Binary Calculator

To use prepostseo Binary Calculator, enter the values in the input boxes below and click on Calculate button.

 

Binary Calculator


What is a binary system?

It is a system of numbers which operates similar to the decimal system. In the decimal number system, the digits 10 are used as its base. However, in the binary system, the number 2 is used as a base. Additionally, in the decimal system, the numbers 0 to 9 are used. In the binary system, only two numbers are used which includes 0 and 1, every number is referred to as a bit. But, all the other computations are done the same way as done in the decimal system.

The latest computer technology is based on the binary number system. As it can easily be executed in the internal wiring and mechanism of the computer systems. The designing of hardware is not difficult at all because they only need to take into consideration two scenarios, either switched on or switched off (same as right or wrong, negative or positive, etc.). The system of decimals is complicated.


Binary Table

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


How the addition is done in the binary system?

There is a similarity between the addition process used in the Binary system and the process of addition used in the decimal system. When there is a need to carry more than 1 then the values added becomes equal to 10, it happens when the addition is equal to 2. Please, see the calculation below to know better about adding binary numbers:

Example:

binary addition

Binary addition calculator is a simple method to add binary values without using manual mehtods.


How the subtraction is done in the binary system?

Over here as well there is a similarity between the binary system and the subtraction of decimal system. But, it is different in the case of usage of 0 and 1. The concept of Borrowing happens when the number which is deducted is greater than the number from which it is being deducted. In the subtraction process of the binary system, the situation when it will be extremely important to borrow will arise when the number 1 is deducted from 0. In this situation, the number 0 from the borrowing column is changed to the number "2". When subtracting the number 1 in the section from which it is borrowing by number 1. The other column also consists of the number 0, then borrowing will take place from the column following, till we reach a column with a number 1 which can be deducted to the number 0. Please, see the calculation below:

Example:

binary subtraction

Binary subtraction calculator is a simple method to add binary values without using manual mehtods.


How the multiplication is done in the binary system?

The process in the binary system is easier than it is in the decimal system. As only the numbers 0 and 1 are used, the outcome which is added can be similar to the first term, or it can be number 0. In all the following rows, the number 0 is added, as a result of the value shifts to the left, as it happens in the multiplication process of the decimal. The trickiness in the computations of the binary process arises from monotonous calculations relying on the bits in each term. Kindly, see the example below for convenience.

EXAMPLE:

binary multiplication

Binary multiplication calculator is a simple method to add binary values without using manual mehtods.


How the division is done in the binary system?

The concept of the division in the binary system is the same as the huge processes of a decimal system involving division. The divisor divides the dividend again, over here the binary subtraction is used and not the decimal subtraction. You have to be skillful at the binary deductions and subtraction otherwise there will be difficult for you. Please, see below:


EXAMPLE:

binary division

Binary division calculator is a simple method to add binary values without using manual mehtods.


What else we have to offer?

Binary to HexHex to BinaryBinary to OctalOctal to Binary Decimal to BinaryBinary to Decimal are easy to use converters that can convert binary values into octal, decimal, and hex numbers. 

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