How to use this Binary Degrees to Milli-radians Converter 🤔
Follow these steps to convert given angle from the units of Binary Degrees to the units of Milli-radians.
Enter the input Binary Degrees value in the text field.
The calculator converts the given Binary Degrees into Milli-radians in realtime ⌚ using the conversion formula, and displays under the Milli-radians label. You do not need to click any button. If the input changes, Milli-radians value is re-calculated, just like that.
You may copy the resulting Milli-radians 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 Reset button present below the input field.
What is the Formula to convert Binary Degrees to Milli-radians?
The formula to convert given angle from Binary Degrees to Milli-radians is:
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 milli-radians, i.e., Angle(Milli-radians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a digital compass in a drone reads 90 binary degrees for navigation. Convert this angle from binary degrees to Milli-radians.
Answer:
Given:
The angle in binary degrees is:
Angle(Binary Degrees) = 90
Formula:
The formula to convert angle from binary degrees to milli-radians is:
The following table gives some of the most used conversions from Binary Degrees to Milli-radians.
Binary Degrees (°)
Milli-radians (mrad)
0 °
0 mrad
1 °
24.5437mrad
10 °
245.4369mrad
45 °
1104.4662mrad
90 °
2208.9323mrad
180 °
4417.8647mrad
360 °
8835.7293mrad
1000 °
24543.6926mrad
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.
Milli-radians
Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Binary Degrees to Milli-radians in Angle?
The formula to convert Binary Degrees to Milli-radians in Angle is:
Binary Degrees * 2000 * π / 256
2. Is this tool free or paid?
This Angle conversion tool, which converts Binary Degrees to Milli-radians, is completely free to use.
3. How do I convert Angle from Binary Degrees to Milli-radians?
To convert Angle from Binary Degrees to Milli-radians, you can use the following formula:
Binary Degrees * 2000 * π / 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 Milli-radians.