The Decimal Number System uses base 10 and it includes the digits from 0 through 9. Don’t get confused, it is the common number system that we use in our daily life to calculate the things.

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Decimal Number System

The Decimal Number System uses base 10 and it includes the digits from 0 through 9. Don’t get confused, it is the common number system that we use in our daily life to calculate the things. The powers weighted values for each position will be as follows:

(Base 10)Number

104

103

102

101

100

10-1

10-2

10-3

Value

10000

1000

100

10

1

.1

.01

.001

In this way if I have a decimal number 218 and I want to represent it in above manner the number 218 will be represented in the following manner:

2 * 102 + 1 * 101 + 8 * 100

= 2 * 100 + 1 * 10 + 8 * 1

= 200 + 10 + 8

= 218

Now let us take an example of any fractional decimal number. Let we have a number 821.128. Each digit appearing to the left of the decimal point represents a value between zero and nine and the power of ten is represented by its position in the number (starting from 0).

Digits appearing to the right of the decimal point represent a value between zero and nine times an increasing negative power of ten. Let us see how:

8 * 102 + 2 * 101 + 1 * 100 + 1 * 10-1 + 2 * 10-2 + 8 * 10-3

= 8 * 100 + 2 * 10 + 1 * 1 + 1 * 0.1 + 2 * 0.01 + 8 * 0.001

= 800 + 20 + 1 + 0.1 + 0.02 + 0.008

= 821.128

Sample Chapters from book DATA RECOVERY WITH AND WITHOUT PROGRAMMING by Author Tarun Tyagi
Data Recovery with & without Programming


Publishers of the Book
Number of Pages
ISBN
Price of the Book


BPB Publications, New Delhi, India
540
81-7656-922-4
$69.00 (Including Shipping Charges, Cost of Book and Other expenses, Free Source Code CD included with the Book)





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