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the number 5.125 (binary 101.001) why? 101 is 5 , but how are decimal places converted?
Also from that article – a bias is added to the actual exponent e.
What is bias? What is the purpose of it?
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from this article:
the number 5.125 (binary 101.001) why? 101 is 5 , but how are decimal places converted?
Also from that article – a bias is added to the actual exponent e.
What is bias? What is the purpose of it?
See the Floating-Point guide for a detailed explanation of how binary fractions work.
A biased exponent is used because it allows floating-point numbers to compared for value exactly like integer numbers, i.e. if a bit pattern A is greater than a bit pattern B when interpreted as integer, the same is always true if you interpret the patters as floating-point numbers.