Thus, the number 9240 can be expressed as (9 x 103) + (2 x 102) + (4 x 101) + (0 x 100) or 9 x 1,000 + 2 x 100 + 4 x 10 + 0 x 1 Example Express the number 480.52 as the sum of values of each digit. Summary Decimal Numbers Decimal numbers can be expressed as the sum of the products of each digit times the column value for that digit. For fractional decimal numbers, the column weights are negative powers of ten that decrease from left to right: 102 101 100.
The column weights of decimal numbers are powers of ten that increase from right to left beginning with 100 =1: …105 104 103 102 101 100.
The radix of decimal numbers is ten, because only ten symbols (0 through 9) are used to represent any number. Summary Decimal Numbers The position of each digit in a weighted number system is assigned a weight based on the base or radix of the system. Digital Fundamentals Tenth Edition Floyd Chapter 2 © 2008 Pearson Education
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