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Base Two Positional Notation

Positional notation can also be used with a base other than ten. Here is a number written using base two:

1 0 0 . 1 0 1
1×22 0×21 0×20 . 1×2-1 0×2-2 1×2-3

When a particular power of the base is not needed, the digit '0' is used for that position. If the base is two, the point  '. is called a binary point.

In general, the mark used to separate the fraction from the whole number is called a radix point. In many European nations, the radix point "," is used.


What is 1×2-1 ? (Express the answer in base ten notation).