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Suppose we have some arbitrary positive number x.
Is there a method to represent its inverse in binary or x‘s inverse is 1/x – how does one express that in binary?
e.g. x=5 //101
x‘s inverse is 1/x, it’s binary form is …?
You’d find it the same way you would in decimal form: long division.
There is no shortcut just because you are in another base, although long division is significantly simpler.
Here is a very nice explanation of long division applied to binary numbers.
Although, just to let you know, most floating-point systems on today’s machines do very fast division for you.