us to ms Converter - Microsecond to Millisecond

Conversion derivation

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

1. 1

   Rewrite us in the base unit

   $$1\mathrm{us}=0.000001\mathrm{s}$$
2. 2

   Rewrite ms in the base unit

   $$1\mathrm{ms}=0.001\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{us}& =\frac{0.000001\cancel{\mathrm{s}}}{0.001\cancel{\mathrm{s}}}\times 1\mathrm{ms}\\ & =\frac{0.000001}{0.001}\mathrm{ms}\\ & =0.001\mathrm{ms}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ms}& =\frac{0.001\cancel{\mathrm{s}}}{0.000001\cancel{\mathrm{s}}}\times 1\mathrm{us}\\ & =\frac{0.001}{0.000001}\mathrm{us}\\ & =1,000\mathrm{us}\end{array}$$