Trying to understand IEEE double precision format
I am currently studying Numerical Analysis and it has introduced the IEEE double precision standard.
sign: 1 bit
exponent: 11 bits (nmin = -1022, nmax = 1023)
mantissa: 53(with an implicit leading bit, so only 52 are stored)
What I am confused about is how we interpret the numbers from this format.
For normal numbers, is the implicit leading 1 part of the integer or is it part of the fraction?
From what I have searched so far, I think the leading 1 is in the integer part. However, the textbook I use mentions Decimal Machine Number and it uses the representation 0.d1d2....x 10^n , which makes me wonder if I am missing something.
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