adding more tricky questions

Author: rohan-paul

Javascript/Tricky-JS-Problems/why-does-adding-two-decimals-in-javascript-produce-a-wrong-result.md

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+Question: Why `.1+.2 != .3`
+
+**Answer:** This is not a javascript only limitation, it applies to all floating point calculations. The problem is that 0.1 and 0.2 and 0.3 are not exactly representable as javascript (or C or Java etc) floats. Thus the output you are seeing is due to that inaccuracy.
+
+In particular only certain sums of powers of two are exactly representable. 0.5 = =0.1b = 2^(-1), 0.25=0.01b=(2^-2), 0.75=0.11b = (2^-1 + 2^-2) are all OK. But 1/10 = 0.000110001100011..b can only be expressed as an infinite sum of powers of 2, which the language chops off at some point. Its this chopping that is causing these slight errors.
+
+---
+
+### Why is 0.1 + 0.2 Not Equal to 0.3 in Most Programming Languages?