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

    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: \[5*{{10}^{3}}=5000\]