day vers ns convertisseur - Jour vers Nanoseconde

Conversion derivation

Express both day and ns in the same base unit s (second), then cancel the shared base unit.

1. 1

   Rewrite day in the base unit

   $$1\mathrm{day}=86,400\mathrm{s}$$
2. 2

   Rewrite ns in the base unit

   $$1\mathrm{ns}=1\times 10^{-9}\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{day}& =\frac{86,400\cancel{\mathrm{s}}}{1\times 10^{-9}\cancel{\mathrm{s}}}\times 1\mathrm{ns}\\ & =\frac{86,400}{1\times 10^{-9}}\mathrm{ns}\\ & =8.64\times 10^{13}\mathrm{ns}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ns}& =\frac{1\times 10^{-9}\cancel{\mathrm{s}}}{86,400\cancel{\mathrm{s}}}\times 1\mathrm{day}\\ & =\frac{1\times 10^{-9}}{86,400}\mathrm{day}\\ & =1.15740741\times 10^{-14}\mathrm{day}\end{array}$$