Milli-radians to Binary Degrees Converter

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Binary Degrees





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How to use this Milli-radians to Binary Degrees Converter 🤔

Follow these steps to convert given angle from the units of Milli-radians to the units of Binary Degrees.

  1. Enter the input Milli-radians value in the text field.
  2. The calculator converts the given Milli-radians 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.
  3. You may copy the resulting Binary Degrees value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Milli-radians to Binary Degrees?

The formula to convert given angle from Milli-radians to Binary Degrees is:

Angle(Binary Degrees) = Angle(Milli-radians) × 256 / (2000 × π)

Substitute the given value of angle in milli-radians, i.e., Angle(Milli-radians) 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

Calculation will be done after you enter a valid input.

Examples

1

Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy.
Convert this angle from milliradians to Binary Degrees.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 2

Formula:

The formula to convert angle from milli-radians to binary degrees is:

Angle(Binary Degrees) = Angle(Milli-radians) × 256 / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 2 in the above formula.

Angle(Binary Degrees) = 2 × 256 / (2000 × 3.14159265359)

Angle(Binary Degrees) = 0.08148733086

Final Answer:

Therefore, 2 mrad is equal to 0.08148733086 °.

The angle is 0.08148733086 °, in binary degrees.

2

Consider that a military rangefinder uses 5 milliradians for precise targeting.
Convert this angle from milliradians to Binary Degrees.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 5

Formula:

The formula to convert angle from milli-radians to binary degrees is:

Angle(Binary Degrees) = Angle(Milli-radians) × 256 / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 5 in the above formula.

Angle(Binary Degrees) = 5 × 256 / (2000 × 3.14159265359)

Angle(Binary Degrees) = 0.2037

Final Answer:

Therefore, 5 mrad is equal to 0.2037 °.

The angle is 0.2037 °, in binary degrees.

Milli-radians to Binary Degrees Conversion Table

The following table gives some of the most used conversions from Milli-radians to Binary Degrees.

Milli-radians (mrad)Binary Degrees (°)
0 mrad0 °
1 mrad0.04074366543 °
10 mrad0.4074 °
45 mrad1.8335 °
90 mrad3.6669 °
180 mrad7.3339 °
360 mrad14.6677 °
1000 mrad40.7437 °

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.

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 Milli-radians to Binary Degrees in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Milli-radians to Binary Degrees?