We use decimal system of numeration in our daily lives but computers don't. Computers use binary mathematical notation which has digits 1 and 0. The explanation why it is implemented and widely used because its really easy to store 2 states of knowledge instead of 10.

Binary mathematical notation is employed to store information in computer. Binary numbers are more accurate and readable mathematical notation. Performing calculations is perfectly easy with these numbers. Binary numbers system has 2 logic systems. They are positive logic system and negative logic system.

**1)Positive logic system:** 1 is represented as true or with +5volts.0 is represented as false or with volts.

**2)Negative logic system:** 1 is represented as false or with 0volts.0 is represented as true or with +5 volts.

**Radix.**lets examine what radix means.

**Radix: Radix**is the number of digits present in a very number representation system. Radix plays an important role in understanding about binary weightage which we are going to discuss further.

**Binary weightage:**in decimal number system, the radix is 10 and when we move from unit's place to the left at the ten's place we are increasing the exponential power of 10.

**Converting binary number to decimal:**

**Examples:**

**i) Convert (1001) into decimal**

**Step 1:**Write the given binary number.

**Step 2:**Write the binary weightage below each number

**Step 3:**Cancel the weightage, which is placed below 0 because any number multiplied by zero is zero.

**Step 4:**Add the remaining numbers.

**Therefore, (1001) = (9)**

**ii) Covert (110011) into decimal**

**= 1 1 0 0 1 1**

**Therefore,(110011) = (51)**

**iii) Convert (10101.101) into decimal**

**.**1 0 1

**.**+0.5

**Therefore,(10101.101) = (21.625)**

**Decimal to binary conversion**

**1)**To Covert decimal number into binary number we will be using the

**double dabble method. Before**that lets us know what

**MSB**and

**LSB**stands for.

**MSB:**It is know as the most significant bit of a number. It represents the first digit from left. Its the most weightage in an exceedingly binary number.

**LSB:**It is know as the least significant bit of a number. It represents the last digit from left. It has the minimum weightage in a binary number.

**Fractional decimal number to binary conversion**

**(Note: just in case of strange fractional number find the binary number up to 4 to 5 digits to use approximation.)**

**Frequently asked Questions.**

**1) Who named numbers ?**

**=>**The Egyptians .

**2) What's number base ?**

**=>**Number base is a collection of digits used to represent numbers.