Electrical Engineering ⇒ Topic : Decimal Number System
DECIMAL NUMBER SYSTEM
Decimal number system uses ten digits from 0 to 9. So its base or radix is 10. The base or radix of a number system is defined as the number of digits that it uses to represent the number. The weight of each digit of a decimal number is dependent on its relative position. To explain this, let us take a decimal number 7286.
7286 = 7000 + 200 + 80 + 6
= 7 x 103 + 2 x 102 + 8 x 101 + 6 x 10°
Weight of the first digit of the number from the right hand side = 1st digit x 10°.
Weight of the second digit of the number from the right hand side = 2nd digit x 101.
Weight of the third digit of the number from the right hand side = 3rd digit x 102.
Weight of the fourth digit of the number from the right hand side = 4th digit x 103.
In general, for nth digit, it can be written as = nth digit x (base) n-1
From above, it is obvious that the number system in which the weight of each digit depends on the relative position within the number is called positional number system
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