# Why Binary Number has Base 2?

Binary Numbers has Base “2” that means it consists of two numbers “0” and “1”. Binary Language is a language in which a computer communicates between themselves. The various functioning taking place inside a computer is on hardware level.

So, we cannot store the files inside a Computer Memory or it cannot be created. So, the numbers are stored in form of Cells

For Example:

If any particular cells have “+V” charge then, 1 is being stored.

If any particular cells have “+0” charge then, 0 is being stored.

In a Binary format numbers are stored in a form of 0 and 1.

**The operators which work on Binary Numbers are as follows:**

1. And

2. Or

3. Exclusive Or

4. Not

5. Left Shift

6. Right Shift

The above-mentioned operator works at Bit Level.

# Converting a Binary Number into Decimal Number

## Binary Number: 1111

1*2^3 + 1*2^2 + 1*2^1 + 1*2^0

Each of the number present at bits level is multiplied with a power of 2 increasing each time

## Decimal Number: 15

# Converting a Decimal Number into Binary Number

## Decimal Number: 5

5 % 2 = 1 ; 5 / 2 = 2

2 % 2 =0 ; 2 / 2 =1

1 % 2 = 1 ; 1/ 2 = 0

Each time a the quotient is modulus by 2 and the remainder is then taken in reverse order when final digit is 0.

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