1. Machine epsilon
eps returns the distance from 1.0 to the next largest floating point number.
When eps is machine epsilon, the logic 1+eps>1 is TRUE

2. Conversion binary data to decimal data
Binary  Decimal form
Binary  Decimal form

3. If computer cannot distinguish between EPS+1 and 1, the value EPS is smaller than the machine epsilon.

4. >>format long e
>> eps
ans =
e-016
>>1+eps>1 1
>> 1+eps<1
>> (1+eps/2)>1

5. e = 0; EPS = 1.0;
while (1+EPS)>1
EPS = EPS/2
e = e+1
end
machineEPS = EPS*2