Convert yobi to tebi

Learn how to convert 1 yobi to tebi step by step.

Calculation Breakdown

Set up the equation
$$1.0\left(yobi\right)={\color{rgb(20,165,174)} x}\left(tebi\right)$$
Define the prefix value(s)
$$The \text{ } value \text{ } of \text{ } yobi \text{ } is \text{ } 2.0^{80}$$
$$The \text{ } value \text{ } of \text{ } tebi \text{ } is \text{ } 2.0^{40}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(yobi\right)={\color{rgb(20,165,174)} x}\left(tebi\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 2.0^{80}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.0^{40}}}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 2.0^{80}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.0^{40}}$$
$$\text{Conversion Equation}$$
$$2.0^{80} = {\color{rgb(20,165,174)} x} \times 2.0^{40}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$${\color{rgb(255,204,153)} \cancelto{2^{40}}{2.0^{80}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.0^{40}}}$$
$$\text{Simplify}$$
$$2^{40} = {\color{rgb(20,165,174)} x}$$
Switch sides
$${\color{rgb(20,165,174)} x} = 2^{40}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 1.0995116278 \times 10^{12}\approx1.0995 \times 10^{12}$$
$$\text{Conversion Equation}$$
$$1.0\left(yobi\right)\approx{\color{rgb(20,165,174)} 1.0995 \times 10^{12}}\left(tebi\right)$$

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