# Binary Degrees to Turns Converter

⇅ Switch toTurns to Binary Degrees Converter

## How to use this Binary Degrees to Turns Converter 🤔

Follow these steps to convert given angle from the units of Binary Degrees to the units of Turns.

- Enter the input
**Binary Degrees**value in the text field. - The calculator converts the given
**Binary Degrees**into**Turns**in realtime ⌚ using the conversion formula, and displays under the**Turns**label. You do not need to click any button. If the input changes,**Turns**value is re-calculated, just like that. - You may copy the resulting
**Turns**value using the Copy button. - To view a detailed step by step calculation of the conversion, click on the View Calculation button.
- You can also reset the input by clicking on button present below the input field.

## What is the Formula to convert Binary Degrees to Turns?

The formula to convert given angle from Binary Degrees to Turns is:

Angle_{(Turns)} = Angle_{(Binary Degrees)} / 256

Substitute the given value of angle in binary degrees, i.e., Angle_{(Binary Degrees)} in the above formula and simplify the right-hand side value. The resulting value is the angle in turns, i.e., Angle_{(Turns)}.

## Calculation

## Examples

### Consider that a digital compass in a drone reads 90 binary degrees for navigation.

Convert this angle from binary degrees to Turns.

#### Answer:

**Given:**

The angle in binary degrees is:

Angle_{(Binary Degrees)} = 90

**Formula:**

The formula to convert angle from binary degrees to turns is:

Angle_{(Turns)} = Angle_{(Binary Degrees)} / 256

**Substitution:**

Substitute given weight **Angle _{(Binary Degrees)} = 90** in the above formula.

Angle_{(Turns)} = 90 / 256

Angle_{(Turns)} = 0.3516

**Final Answer:**

Therefore, **90 °** is equal to **0.3516 turn**.

The angle is **0.3516 turn**, in turns.

### Consider that the rotation needed for a robotic arm is 180 binary degrees.

Convert this angle from binary degrees to Turns.

#### Answer:

**Given:**

The angle in binary degrees is:

Angle_{(Binary Degrees)} = 180

**Formula:**

The formula to convert angle from binary degrees to turns is:

Angle_{(Turns)} = Angle_{(Binary Degrees)} / 256

**Substitution:**

Substitute given weight **Angle _{(Binary Degrees)} = 180** in the above formula.

Angle_{(Turns)} = 180 / 256

Angle_{(Turns)} = 0.7031

**Final Answer:**

Therefore, **180 °** is equal to **0.7031 turn**.

The angle is **0.7031 turn**, in turns.

## Binary Degrees to Turns Conversion Table

The following table gives some of the most used conversions from Binary Degrees to Turns.

Binary Degrees (°) | Turns (turn) |
---|---|

0 ° | 0 turn |

1 ° | 0.00390625 turn |

10 ° | 0.0390625 turn |

45 ° | 0.1758 turn |

90 ° | 0.3516 turn |

180 ° | 0.7031 turn |

360 ° | 1.4063 turn |

1000 ° | 3.9063 turn |

## Binary Degrees

Binary degrees, or 'binary angles,' are a unit of angular measurement used in digital systems where angles are represented using binary numbers. This system is particularly useful in computer graphics, robotics, and digital signal processing, where binary calculations are more efficient than traditional degrees.

## Turns

A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.

## Frequently Asked Questions (FAQs)

### 1. What is the formula for converting Binary Degrees to Turns in Angle?

The formula to convert Binary Degrees to Turns in Angle is:

Binary Degrees / 256

### 2. Is this tool free or paid?

This Angle conversion tool, which converts Binary Degrees to Turns, is completely free to use.

### 3. How do I convert Angle from Binary Degrees to Turns?

To convert Angle from Binary Degrees to Turns, you can use the following formula:

Binary Degrees / 256

For example, if you have a value in Binary Degrees, you substitute that value in place of Binary Degrees in the above formula, and solve the mathematical expression to get the equivalent value in Turns.