Convert revolution to binary radian

Learn how to convert 1 revolution to binary radian step by step.

Calculation Breakdown

Set up the equation

1.0 (r e v o l u t i o n) = x (b i n a r y r a d i a n)

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

(r a d i a n)

Left side: 1.0 (r e v o l u t i o n) = 2.0 \times π (r a d i a n) = 2.0 \times π (r a d)

Right side: 1.0 (b i n a r y r a d i a n) = \frac{π}{128.0} (r a d i a n) = \frac{π}{128.0} (r a d)

Insert known values into the conversion equation to determine

x

1.0 (r e v o l u t i o n) = x (b i n a r y r a d i a n)

Insert known values =>

1.0 \times 2.0 \times π \times (r a d i a n) = x \times \frac{π}{128.0} \times (r a d i a n)

Or

1.0 \cdot 2.0 \times π \cdot (r a d) = x \cdot \frac{π}{128.0} \cdot (r a d)

Cancel SI units

1.0 \times 2.0 \times π \cdot (r a d) = x \times \frac{π}{128.0} \times (r a d)

Conversion Equation

2.0 \times π = x \times \frac{π}{128.0}

Cancel factors on both sides

Cancel factors

π \times 2.0 = x \times \frac{π}{128.0}

Simplify

2.0 = x \times \frac{1.0}{128.0}

Switch sides

x \times \frac{1.0}{128.0} = 2.0

Isolate

x

Multiply both sides by

(\frac{128.0}{1.0})

x \times \frac{1.0}{128.0} \times \frac{128.0}{1.0} = 2.0 \times \frac{128.0}{1.0}

Cancel

x \times \frac{1.0 \times 128.0}{128.0 \times 1.0} = 2.0 \times \frac{128.0}{1.0}

Simplify

x = 2.0 \times 128.0

Solve

x

x = 256 = 2.56 \times 10^{2}

Conversion Equation

1.0 (r e v o l u t i o n) = 2.56 \times 10^{2} (b i n a r y r a d i a n)

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