Convert bit / second to byte / second

Learn how to convert 1 bit / second to byte / second step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{b i t}{s e c o n d}) = x (\frac{b y t e}{s e c o n d})

Define the base values of the selected units in relation to the SI unit

(\frac{b y t e}{s e c o n d})

Left side: 1.0 (\frac{b i t}{s e c o n d}) = \frac{1.0}{8.0} (\frac{b y t e}{s e c o n d}) = \frac{1.0}{8.0} (\frac{B}{s})

Right side: 1.0 (\frac{b y t e}{s e c o n d}) = 1.0 (\frac{b y t e}{s e c o n d}) = 1.0 (\frac{B}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{b i t}{s e c o n d}) = x (\frac{b y t e}{s e c o n d})

Insert known values =>

1.0 \times \frac{1.0}{8.0} \times (\frac{b y t e}{s e c o n d}) = x \times 1.0 \times (\frac{b y t e}{s e c o n d})

Or

1.0 \cdot \frac{1.0}{8.0} \cdot (\frac{B}{s}) = x \cdot 1.0 \cdot (\frac{B}{s})

Cancel SI units

1.0 \times \frac{1.0}{8.0} \cdot (\frac{B}{s}) = x \times 1.0 \times (\frac{B}{s})

Conversion Equation

\frac{1.0}{8.0} = x \times 1.0

Simplify

\frac{1.0}{8.0} = x

Switch sides

x = \frac{1.0}{8.0}

Solve

x

x = 0.125 = 1.25 \times 10^{- 1}

Conversion Equation

1.0 (\frac{b i t}{s e c o n d}) = 1.25 \times 10^{- 1} (\frac{b y t e}{s e c o n d})

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