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binary representation


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The representation of a number to base 2. It uses just the two binary digits 0 and 1, and this is the reason why it is important in computing. For example, 37=(100101)2, since

37=(1×25)+(0×24)+(0×23)+(1×22)+(0×2)+1.

Real numbers, not just integers, can also be written in binary notation, by using binary digits after a ‘decimal’ point, just as familiar decimal representations of real numbers are written to base 10. For example, the number 1/10, which equals 0.1 in decimal notation, has, in binary notation, a recurring representation: (0.00011001100110011…)2.

Subjects: Mathematics — Chemistry.


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