1 x 1/2
+ 0 x 1/4
+ 1 x 1/8
-----------
5/8 = 0.625
####
1/2 (0.500000000000) 0
1/4 (0.250000000000) 0
1/8 (0.125000000000) 0
1/16 (0.062500000000) 1 0.0625
1/32 (0.031250000000) 1 0.03125
1/64 (0.015625000000) 0
1/128 (0.007812500000) 0
1/256 (0.003906250000) 1 0.00390625
1/512 (0.001953125000) 0
1/1024 (0.000976562500) 1 0.0009765625
1/2048 (0.000488281250) 0
1/4096 (0.000244140625) 0
---------------------------------------------------
0.0986328125
##
##
perl> printf "%.32f\n", 0.1
0.100 000 000 000 000 010 000 000 000 000 00