# Decimal Number System

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

dn-1 dn-2…..d 1 d0 means dn-1 10n-1 + dn-2 10n-2 + ……. + d1 101 + d0 100

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 × 103 + 5 × 102 + 2 × 101 + 8 × 100

and the number 26.57 has the magnitude

26.57 = 2 × 10 + 6 × 100 + 5 × 10-1 + 7 × 10-2

• Why Binary Numbers are Used
• Binary to Decimal Conversion
• Conversion of Numbers
• Hexa-decimal Number System
• Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
• Octal and Hexa-Decimal Numbers
• Signed-magnitude Representation
• Diminished Radix Complement
• Arithmetic Operations of Binary Numbers

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