Cardinality of the set of binary-expressed real numbers

1.        Counting the fractional binary numbers        
2.        Fractional binary numbers on the real line        
3.        Countability of BF        
4.        Set of all binary numbers, B        
5.        On Cantor's diagonal argument        
6.        On Cantor's theorem        
7.        On infinite digital expansion of irrational number        
8.        On the continuum hypothesis