# Binary Degrees to Gradians Converter

⇅ Switch toGradians to Binary Degrees Converter

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

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

- Enter the input
**Binary Degrees**value in the text field. - The calculator converts the given
**Binary Degrees**into**Gradians**in realtime ⌚ using the conversion formula, and displays under the**Gradians**label. You do not need to click any button. If the input changes,**Gradians**value is re-calculated, just like that. - You may copy the resulting
**Gradians**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 Gradians?

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

Angle_{(Gradians)} = Angle_{(Binary Degrees)} × 1.5625

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 gradians, i.e., Angle_{(Gradians)}.

## Calculation

## Examples

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

Convert this angle from binary degrees to Gradians.

#### Answer:

**Given:**

The angle in binary degrees is:

Angle_{(Binary Degrees)} = 90

**Formula:**

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

Angle_{(Gradians)} = Angle_{(Binary Degrees)} × 1.5625

**Substitution:**

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

Angle_{(Gradians)} = 90 × 1.5625

Angle_{(Gradians)} = 140.625

**Final Answer:**

Therefore, **90 °** is equal to **140.625 gon**.

The angle is **140.625 gon**, in gradians.

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

Convert this angle from binary degrees to Gradians.

#### Answer:

**Given:**

The angle in binary degrees is:

Angle_{(Binary Degrees)} = 180

**Formula:**

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

Angle_{(Gradians)} = Angle_{(Binary Degrees)} × 1.5625

**Substitution:**

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

Angle_{(Gradians)} = 180 × 1.5625

Angle_{(Gradians)} = 281.25

**Final Answer:**

Therefore, **180 °** is equal to **281.25 gon**.

The angle is **281.25 gon**, in gradians.

## Binary Degrees to Gradians Conversion Table

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

Binary Degrees (°) | Gradians (gon) |
---|---|

0 ° | 0 gon |

1 ° | 1.5625 gon |

10 ° | 15.625 gon |

45 ° | 70.3125 gon |

90 ° | 140.625 gon |

180 ° | 281.25 gon |

360 ° | 562.5 gon |

1000 ° | 1562.5 gon |

## 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.

## Gradians

Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.

## Frequently Asked Questions (FAQs)

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

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

Binary Degrees * 1.5625

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

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

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

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

Binary Degrees * 1.5625

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 Gradians.