Why 0.10.2==0.3 False?

Hello Everyone today i will be discussing this famous question
Why 0.1 + 0.2 === 0.3 is false?

Let's get started...

I am using Javascript to show this but this comparison of floating point can be seen in other programming languages as well where they also return false for this comparison.

Code Example -

console.log(0.1 + 0.2 === 0.3)//output - false

• It returned false but 0.1 + 0.2 = 0.3 then it why it didn't returned true?
• Well These floating point numbers cannot be precisely represented in Base 2 floating point number.This Explaination of base 2 concept is quite complicated to show but i will show you the simple reason why it happened.

console.log(0.1 + 0.2)// output - 0.30000000000000004

• The actual output of those 2 numbers is 0.30000000000000004 that's why it returned false because we are comparing this

console.log(0.3 === 30000000000000004)// false

• Now you understand why it returned false.

console.log(0.1 + 0.2 === 0.30000000000000004)//output - true

• This time it will return true

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