# Decimal number system

The

**Decimal number system**got its name because it uses 10 symbols (or popularly digits) for counting and performing operations. It uses the digits 0 to 9.

In this number system the radix or the base is 10 since number of digits used is ten.The general format of decimal number representation is shown below

**10**Weights

^{4}10^{3}10^{2}10^{1}10^{0}10^{-1}10^{-2}10^{-3}10^{-4 }← S_{4 } |
S_{3 } |
S_{2 } |
S_{1 } |
S_{0 } |
. |
S_{-1 } |
S_{-2 } |
S_{-3 } |
S_{-4 } |

** ****↑**** ↑ ****↑**

**MSD Decimal point LSD**

Where

** MSD** is most significant digit (left most digit of a number)

**LSD **is the least significant digit (right most digit of a number)

**Note: **From the fig we can observe that the MSD has the greatest weight and the LSD have the smallest weight.