Convert byte to bit
Learn how to convert
1
byte to
bit
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(byte\right)={\color{rgb(20,165,174)} x}\left(bit\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(byte\right)\)
\(\text{Left side: 1.0 } \left(byte\right) = {\color{rgb(89,182,91)} 1.0\left(byte\right)} = {\color{rgb(89,182,91)} 1.0\left(B\right)}\)
\(\text{Right side: 1.0 } \left(bit\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{8.0}\left(byte\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{8.0}\left(B\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(byte\right)={\color{rgb(20,165,174)} x}\left(bit\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(byte\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{8.0}}} \times {\color{rgb(125,164,120)} \left(byte\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(B\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{8.0}} \cdot {\color{rgb(125,164,120)} \left(B\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(B\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{8.0}} \times {\color{rgb(125,164,120)} \cancel{\left(B\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{8.0}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{8.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancel{1.0}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{8.0}\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{8.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{8.0} = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{8.0}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{8.0} \times \dfrac{8.0}{1.0} = \times \dfrac{8.0}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{8.0}}}{{\color{rgb(99,194,222)} \cancel{8.0}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{8.0}{1.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 8.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 8\)
\(\text{Conversion Equation}\)
\(1.0\left(byte\right) = {\color{rgb(20,165,174)} 8}\left(bit\right)\)
