# Convert gibi to mebi

Learn how to convert 1 gibi to mebi step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(gibi\right)={\color{rgb(20,165,174)} x}\left(mebi\right)$$
Define the prefix value(s)
$$The \text{ } value \text{ } of \text{ } gibi \text{ } is \text{ } 2.0^{30}$$
$$The \text{ } value \text{ } of \text{ } mebi \text{ } is \text{ } 2.0^{20}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(gibi\right)={\color{rgb(20,165,174)} x}\left(mebi\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 2.0^{30}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.0^{20}}}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 2.0^{30}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.0^{20}}$$
$$\text{Conversion Equation}$$
$$2.0^{30} = {\color{rgb(20,165,174)} x} \times 2.0^{20}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$${\color{rgb(255,204,153)} \cancelto{2^{10}}{2.0^{30}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.0^{20}}}$$
$$\text{Simplify}$$
$$2^{10} = {\color{rgb(20,165,174)} x}$$
Switch sides
$${\color{rgb(20,165,174)} x} = 2^{10}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 1024 = 1.024 \times 10^{3}$$
$$\text{Conversion Equation}$$
$$1.0\left(gibi\right) = {\color{rgb(20,165,174)} 1.024 \times 10^{3}}\left(mebi\right)$$

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