Convert pebi to zebi
Learn how to convert
1
pebi to
zebi
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(pebi\right)={\color{rgb(20,165,174)} x}\left(zebi\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } pebi \text{ } is \text{ } 2.0^{50}\)
\(The \text{ } value \text{ } of \text{ } zebi \text{ } is \text{ } 2.0^{70}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(pebi\right)={\color{rgb(20,165,174)} x}\left(zebi\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.0^{50}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.0^{70}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.0^{50}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.0^{70}}\)
\(\text{Conversion Equation}\)
\(2.0^{50} = {\color{rgb(20,165,174)} x} \times 2.0^{70}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancel{2.0^{50}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancelto{2^{20}}{2.0^{70}}}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 2^{20}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2^{20} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2^{20}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2^{20} \times \dfrac{1.0}{2^{20}} = \times \dfrac{1.0}{2^{20}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2^{20}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2^{20}}}} = \dfrac{1.0}{2^{20}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{2^{20}}\)
Rewrite equation
\(\dfrac{1.0}{2^{20}}\text{ can be rewritten to }2^{-20}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 2^{-20}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000009537\approx9.5367 \times 10^{-7}\)
\(\text{Conversion Equation}\)
\(1.0\left(pebi\right)\approx{\color{rgb(20,165,174)} 9.5367 \times 10^{-7}}\left(zebi\right)\)