10th Class Computers Classification of Computer and Number System Decimal Number System

Decimal Number System

Category : 10th Class

*    Decimal Number System

 

The number of digits in the system determines the base of any number system, such as decimal and binary. Basically binary is a base-2 number system as it uses two basic digits. Thus it means that the whole binary number system depends on the two basic digits. Whereas decimal is a base-10 system since it uses ten digits, and these are 0, 1, 1, 3, 4, 5, 6, 7, 8 and 9.  

A system with base-10 is a decimal number system. Thus it means that there are ten basic digits on which the decimal number system depends. The digits are 0, 1, 2, 3, 4, 5, 6,7, 8 and 9. By using these ten digits all the numbers in decimal number system are written. Thus the place value of a digit in a number increases the power from right to left. For example, the following are the place value of each digit of number 5471:

The place value of 1 is: \[1*{{10}^{0}}=1\]

The place value of 6 is: \[7*{{10}^{1}}=70\]

The place value of 3 is: \[4*{{10}^{2}}=400\]

The place value of 5 is: \[5*{{10}^{3}}=5000\]



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