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Binary Calculator

Binary Calculator

First Number

 

Operation

Second Number

 

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An online binary calculator helps you to perform the basic arithmetic operations (Addition, Subtraction, Multiplication, Division) on two numbers with base 2, 8, 10 & 16. The online binary operations calculator readily performs the different arithmetic operations on different basis. Read on to exactly know about the manual calculations and much more interesting information.

Read on!

How to Use the Binary Calculator:

The calculations become very easy with this handy & accurate tool. You just have to stick to the following points:

Inputs:

  • First of all, choose the number type from the dropdown of this tool. It can either be binary, decimal, octal or hexadecimal.
  • Then enter the value of first operand.
  • Very next, enter the value of second operand.
  • Next, choose the arithmetic operation which you want to operate on the two operands. It can either be addition, subtraction, multiplication or division.
  • Lastly, hit the calculate button.

Outputs:

Once you enter in all the fields, the calculator shows:

  • Result in:
  • Binary System.
  • Decimal System.
  • Octal System.
  • Hexadecimal System.

Note:

No matters, which system you select for the calculations, the free binary calculator determine the results according to your selected input.

How to Do the Calculations Manually:

Our online calculator performs the following arithmetic calculations on the two numbers with same bases.

  • Addition
  • Subtraction
  • Multiplication
  • Division

Here, we have examples of operations on the binary numbers. Same as it is for the calculations of the hexadecimal, octal & decimal numbers.

Binary Addition:

Adding binary numbers follows the same rule as in the decimal addition, but it carries 1 rather than 10. Our binary addition calculator performs the addition rules for the addition of binary numbers. Ahead to the example for clarification.

Example:

Add (10110010)2 & (11101)2?

Solution:

As,

\(0 + 0 = 0\)

\(0 + 1 = 1\)

\(1 + 0 = 1\)

\(1 + 1 = 0 carries 1\)

So,

(11011110010)2

+    (11101)2

  ——————————

(11001111)2

 

Binary Subtraction:

Subtracting binary numbers follows the same rule as in the decimal subtraction, but it borrows 1 rather than 10. Use binary subtraction calculator to exactly know about the rules for the binary subtraction. Ahead to the example for better understanding.

Example:

How to subtract binary numbers (11101)2 from (100011)2?

Solution:

As,

\(0 – 0 = 0\)

\(0 – 1 = 1 borrow 1\)

\(1 – 0 = 1\)

\(1 – 1 = 0\)

So,

(110102011)2

–     (11101)2

——————————

(000110)2

Binary Multiplication:

It is simpler than decimal multiplication as it consists of only 0 & 1. Our binary multiplication calculator readily performs the multiplication of binary numbers. Ahead to example:

Example:

Multiply (101011)2 with (101)2?

As,

\(0 × 0 = 0\)

\(0 × 1 = 0\)

\(1 × 0 = 0\)

\(1 × 1 = 1\)

So,

(101011)2

×       (101)2

——————————–

1101011

1000000×

101011××

———————————

(11010111)2

Binary Division:

It is similar to the long division of decimal numbers. In our binary division calculator, the dividend is divided by the divisor same as in the decimal. Let’s have a look at the example:

Example:

Divide (101010)2 with (110)2?

Solution:

       000111               

110 ⟌101010

0↓↓↓↓↓

————————————-

10↓↓↓↓

0↓↓↓↓

 ———————————–

101↓↓↓

0↓↓↓

————————————

1010↓↓

110↓↓

————————————

01001↓

110↓

————————————-

00110

110

————————————-

00000

Simply, you can try this binary calculator to verify your answers and to avoid from complications.

Frequently Ask Questions (FAQ’s):

Is 99 binary or decimal?

99 is a decimal number as the numbers in the 99 included in the decimal digits (0,1,2,3,4,5,6,7,8,9) & binary numbers consists of only 0 & 1.

What is a binary number?

The numbers with the base 2 rather than 10 is in the binary system. It is expressed only with 0

& 1.

Why we do need binary number?

It is basically used in discrete mathematics to represent the logic gates. It is the basic of the electronic devices because it is the part of Boolean algebra.

End-Note:

The binary numbers are important in our daily life instead of using decimal we can use binary as it simplifies the design of computer & related technologies. So, thankfully, you come to know about different calculations related to different systems. Simply, try this online binary calculator that helps you to do the arithmetic calculations accurately.

References:

From the source of Wikipedia : History & binary arithmetic

From the site of khanacademy : Calculations of binary arithmetic

From the site of mathisfun : Introduction to number system