What is Decimal Number System?
Decimal number system is the most common example of positional notational number system and all the arithmetical calculations undertaken by human being are carried out on the basis of this number system. In this system, the symbols used are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and the base is 10. Thus the number
d_{n-1} d_{n-2}…..d_{ 1} d_{0} means d_{n-1} 10^{n-1} + d_{n-2} 10^{n-2} + ……. + d_{1} 10^{1} + d_{0} 10^{0}
and this is an n-digit number. If the number be extended to the right of the decimal point, then the powers of the base will be negative starting from -1.
For example, the number 3528 has the magnitude
3528 = 3 × 10^{3} + 5 × 10^{2} + 2 × 10^{1} + 8 × 10^{0}
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