Fractions in different Bases
The decimal fraction 0.75 means
- 7*10-1 + 5*10-2 = 0.7 + 0.05 = 0.75
- or equivalently 75/102 = 75/100 = 0.75
Similary 0b0.11 means
- 1*2-1 + 1*2-2 = 0.5 + 0.25 = 0.75
- or equivalently 3/22 = 3/4 = 0.75
Similarly 0x0.C means
- 12*16-1 = 0.75
- or equivalently 12/161 = 3/4 = 0.75
Note: We call the . a radix point rather than a decimal point when we are dealing with other bases.
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