What will be the output of the code? Please explain the answer in simple words.

Question

float a=0.7;
if(a<0.7)
{
printf("yes");
}
else
{
printf("no");
}

Answer 1

On modern computers, numbers are represented in floating point numbers. There are 2 types of floats:
one is simply called float and takes 24 bit for the mantissa (the part holding the number) and 8 bits for the exponent (the part holding the location of the decimal point).
The other type is called double and uses a 53 bit mantissa and 11 bit exponent.
It is more accurate than float, but takes 8 bytes, not 4.
By default any numerical constant you use is a double.
Thefore when you write 'float a=0.7' the 0.7 is converted into float format which is less accurate than the double format.

The float mantissa is represented by the 24 bit integer M, where the float is M/(2^24) (forget the exponent I mentioned for the moment, it is not relevant in this example, and so is the sign bit which I did not even mention).
When we try representing 0.7 as float, we will look for the closest M :
If we do 0.7*(2^24) we get 11744051.2 so we round it down to M=11744051 and so a is stored internally as 11744051/(2^24)=0.699999988079071044921875
Since the default constants are double, which are closer to 0.7, then a will be less than 0.7

However, if you want to store 0.3 as float, you will get :
0.3*(2^24)=5033164.8
This means that this time we round it up to 5033165, and 0.3 in a floating point representation will be:
5033165/(2^24)=0.300000011920928955078125
Therefore it will be greater than 0.3

Answer 2

You Can refer to :
https://www.sololearn.com/discuss/644113/?ref=app
https://code.sololearn.com/cN4FvOeRHZ8R/?ref=app

Answer 3

it`s going print `no` since the (a) is not biger than 0.7 its going to the else statement and print "no"

if it was <= it would have printed "yes"

Answer 4

ty @Lakshay ...for making my idea , about the output more clear...

Answer 5

@jay ,strangely the output is yes...try the code mentioned above by @lakshay