## Quick Reference

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=(1×2^{5})+(0×2^{4})+(0×2^{3})+(1×2^{2})+(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.