# Gradians to Binary Degrees Converter

⇅ Switch toBinary Degrees to Gradians Converter

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

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

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

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

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

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

## Calculation

## Examples

### Consider that a precision engineering tool adjusts by 100 gradians.

Convert this angle from gradians to Binary Degrees.

#### Answer:

**Given:**

The angle in gradians is:

Angle_{(Gradians)} = 100

**Formula:**

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

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

**Substitution:**

Substitute given weight **Angle _{(Gradians)} = 100** in the above formula.

Angle_{(Binary Degrees)} = 100 / 1.5625

Angle_{(Binary Degrees)} = 64

**Final Answer:**

Therefore, **100 gon** is equal to **64 °**.

The angle is **64 °**, in binary degrees.

### Consider that a civil engineer designs a slope with an angle of 90 gradians.

Convert this angle from gradians to Binary Degrees.

#### Answer:

**Given:**

The angle in gradians is:

Angle_{(Gradians)} = 90

**Formula:**

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

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

**Substitution:**

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

Angle_{(Binary Degrees)} = 90 / 1.5625

Angle_{(Binary Degrees)} = 57.6

**Final Answer:**

Therefore, **90 gon** is equal to **57.6 °**.

The angle is **57.6 °**, in binary degrees.

## Gradians to Binary Degrees Conversion Table

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

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

0 gon | 0 ° |

1 gon | 0.64 ° |

10 gon | 6.4 ° |

45 gon | 28.8 ° |

90 gon | 57.6 ° |

180 gon | 115.2 ° |

360 gon | 230.4 ° |

1000 gon | 640 ° |

## 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.

## 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.

## Frequently Asked Questions (FAQs)

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

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

Gradians / 1.5625

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

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

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

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

Gradians / 1.5625

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