In simple precision format, the largest possible positive number is
$A = 0 ~~~ 11111110 ~~~ 111\ldots 111$
Its predecessor is
$B = 0 ~~~ 11111110 ~~~ 111 \ldots 110$
But what is the absolute difference (in decimal) between these?
Appealing to scientific notation,
$A = 1.(2^{22}+2^{23}+\ldots + 2 + 1) \times 2^{2^{7}+2^{6} + \ldots + 2 - 127}$
and
$B = 1.(2^{22}+2^{23}+\ldots + 2 + 0) \times 2^{2^{7}+2^{6} +\ldots + 2 - 127}$
So they have only a difference of one point in the last decimal digit. The exponent tells us there are $2^{7} + \ldots + 2 - 127$ such decimal points. Let $e$ denote that quantity. Is it correct to say the difference is
$$0.\overbrace{000\ldots 000}^{e \text{ times}}1$$
or am I missing something?