Convert gibi to yobi
Learn how to convert
1
gibi to
yobi
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(gibi\right)={\color{rgb(20,165,174)} x}\left(yobi\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } gibi \text{ } is \text{ } 2.0^{30}\)
\(The \text{ } value \text{ } of \text{ } yobi \text{ } is \text{ } 2.0^{80}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(gibi\right)={\color{rgb(20,165,174)} x}\left(yobi\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.0^{30}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.0^{80}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.0^{30}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.0^{80}}\)
\(\text{Conversion Equation}\)
\(2.0^{30} = {\color{rgb(20,165,174)} x} \times 2.0^{80}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancel{2.0^{30}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancelto{2^{50}}{2.0^{80}}}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 2^{50}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2^{50} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2^{50}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2^{50} \times \dfrac{1.0}{2^{50}} = \times \dfrac{1.0}{2^{50}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2^{50}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2^{50}}}} = \dfrac{1.0}{2^{50}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{2^{50}}\)
Rewrite equation
\(\dfrac{1.0}{2^{50}}\text{ can be rewritten to }2^{-50}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 2^{-50}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx8.881784197 \times 10^{-16}\approx8.8818 \times 10^{-16}\)
\(\text{Conversion Equation}\)
\(1.0\left(gibi\right)\approx{\color{rgb(20,165,174)} 8.8818 \times 10^{-16}}\left(yobi\right)\)
