Convert yobi to mebi
Learn how to convert
1
yobi to
mebi
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(yobi\right)={\color{rgb(20,165,174)} x}\left(mebi\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } yobi \text{ } is \text{ } 2.0^{80}\)
\(The \text{ } value \text{ } of \text{ } mebi \text{ } is \text{ } 2.0^{20}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(yobi\right)={\color{rgb(20,165,174)} x}\left(mebi\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.0^{80}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.0^{20}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.0^{80}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.0^{20}}\)
\(\text{Conversion Equation}\)
\(2.0^{80} = {\color{rgb(20,165,174)} x} \times 2.0^{20}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancelto{2^{60}}{2.0^{80}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.0^{20}}}\)
\(\text{Simplify}\)
\(2^{60} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 2^{60}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1.1529215046 \times 10^{18}\approx1.1529 \times 10^{18}\)
\(\text{Conversion Equation}\)
\(1.0\left(yobi\right)\approx{\color{rgb(20,165,174)} 1.1529 \times 10^{18}}\left(mebi\right)\)
