
Preliminary Concepts: Fractional Binary Numbers Just as we can use the decimal point to represent fractional amounts (such as 14.72), binary values can also represent fractional amounts. In base10, the digit immediately to the right of the decimal point (7 in our example) represents 10^{1} (that is, 7 x onetenth). But in binary, a number to the right of the decimal point is 2^{1}, or onehalf. The next digit to the right would be multiplied by onefourth, and the next by oneeighth, and so forth. Most modern computers use a format called "IEEE floatingpoint" to represent very large numbers and fractional numbers in a manner similar to scientificnotation, using 2 rather than 10 as the base. 



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