INTRODUCTIONTO NUMBER SYSTEM
In every step of life, we definitely find the use of numbers. If you need to buy something, you will have to pay a certain amount of money for which you will have to count the money. Likewise, the shopkeeper will also count the goods to give you and same for your changes. Therefore, number system can simply be defined as a way to represent numbers.
For example, a number system can be used to represent the number of players in a certain game like 11 players in a football team or for the number of audience for a concert like 25000 concert-goers, etc. So number system can also be viewed as a set of values that is used to represent different quantities.
TYPESOF NUMBER SYSTEM
1) Decimal Number System:
The decimal number system is the most commonly used number system in our daily life. This generally used number system is also known as the base 10 number system because it uses just the 10 symbols i.e. 0 to 9. It is also known as the denary number system because any numeric value there is, these system’s digits can easily represent them.The decimal system is specially used in the computer interface. The weight and position of the digit dictate the value represented by it.
In this system, each number consists of the digits that are located at different positions. The positions of the 1st and the 2nd digits towards the right side of the decimal point are -1 and -2. Similarly, the positions of the 1stand 2nd digits towards the left side of the decimal point are 0 and 1 respectively.
The value of the number is determined by adding the results out of the multiplication of the digits with the weight of their position. This method is called the expansion method. Under this method, the rightmost digit of the number is called the Least Significant Digit (LSD), as it has the lowest weight. Likewise, the leftmost digit of the number is called the Most Significant Digit (MSD), as it has the highest weight.
Examples:
(a) The weights and positions of each digit of the number 796 are as follows:
Positions
|
2
|
1
|
0
|
Weights
|
102
|
101
|
100
|
Face value
|
7
|
9
|
6
|
The above table indicates that:
The value of digit 7 = 7x102=700
The value of digit 9 = 9x101=90
The value of digit 6 = 6x100=6
The actual number can be formed by adding the values obtained by the digits as follows:
700+90+6=796
Here, the digit 7 in the number 796 is the most significant digit and 6 is the least significant digit
.
No comments:
Post a Comment