A decimal floating point standard will make it possible to represent $0\mathrm{.}1$ without information loss.

Decimal floating$-$point $($DFP$)$ arithmetic refers to both a representation and operations on decimal floating$-$point numbers. Working directly with decimal $($base$-10)$ fractions can avoid the rounding errors that otherwise typically occur when converting between decimal fractions $($common in human$-$entered data, such as measurements or financial information$)$ and binary $($base$-2)$ fractions.