# Questions tagged [fixed-point-arithmetics]

A fixed-point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point. Fixed-point number representation can be compared to the more complicated floating-point number representation.

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### Calculating the fixed-point representation of (1 - √0.5) to arbitrary levels of precision

I have a constant 0.29289321881345247559915563789515..., which can be calculated using the equation (1 - √0.5) and then ...
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### Banach and Caristi fixed point theorems

We all know that caristi fixed point theorem is a generalisation of banach fixed point theorem . We are able to derivate banach fixed point theorem from caristi fixed point theorem by taking a ...
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### Fixed to float in archived (font2openvg) code

i found this link from some forum, so i thought the source code must have been useful to some: font2openvg.cpp.txt The question is, why divide 4096 to convert a fixed to float? ...
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### Converting Decimal to Fixed Point Number

I am having trouble to get the intuition behind the following approach: We take the fraction point (say: .642) and continuously multiply by 2, taking whatever ends up right of the point as our next ...
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### How many bits do I need to store a given fraction?

Unlike integers, decimal fractions cannot be directly represented in binary. Therefore, what is the procedure to find how many bits to use to express a given binary fraction are sufficient? Basically ...
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### Formalizing a self referential sentence

In The logic of provability, by G. Boolos, we are asked to ponder about this statement: If this statement is consistent, then you will have an exam tomorrow, but you cannot deduce from this ...
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