> 111.0011 convert into decimal?

111.0011 convert into decimal?

Posted at: 2014-12-18 
question is not very clear, if this is binary convert to decimal

from 0111 0011, then the answer is:

1 x 64 +

1 x 32 +

1 x 16 +

0 x 8 +

0 x 4 +

1 x 2 +

1 x 1 = 115

64 32 16 8 4 2 1 .5 .25 .125 .0625

0 ..0 ..0 .0 1 1 1 .0 ..0 ....1.......1 ........... = 4 + 2 + 1 + .125 + .0625 = 7.1875

1 x4

1x2

1 x1

0x1/2

0x1/4

1x1/8

1x1/16

so we get

4 + 2 +1 + 1/8 + 1/16

7.1875

111 = 4 + 2 + 1 = 7

.1 would be 0.5 (1/2)

.01 would be 0.25 (1/4)

.001 is 0.125 (1/8)

.0001 is 0.0625 (1/16)

so the fraction is 0.125 + .0625 = 0.1875