How to use this Minutes to Binary Degrees Converter 🤔
Follow these steps to convert given angle from the units of Minutes to the units of Binary Degrees.
Enter the input Minutes value in the text field.
The calculator converts the given Minutes 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 Reset button present below the input field.
What is the Formula to convert Minutes to Binary Degrees?
The formula to convert given angle from Minutes to Binary Degrees is:
Angle(Binary Degrees) = Angle(Minutes) / 84.375
Substitute the given value of angle in minutes, i.e., Angle(Minutes) 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 an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star. Convert this angle from minutes to Binary Degrees.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 15
Formula:
The formula to convert angle from minutes to binary degrees is:
Angle(Binary Degrees) = Angle(Minutes) / 84.375
Substitution:
Substitute given weight Angle(Minutes) = 15 in the above formula.
Angle(Binary Degrees) = 15 / 84.375
Angle(Binary Degrees) = 0.1778
Final Answer:
Therefore, 15 ' is equal to 0.1778 °.
The angle is 0.1778 °, in binary degrees.
2
Consider that a surveyor sets the angle of a theodolite to 10 minutes for precise measurement. Convert this angle from minutes to Binary Degrees.
Answer:
Given:
The angle in minutes is:
Angle(Minutes) = 10
Formula:
The formula to convert angle from minutes to binary degrees is:
Angle(Binary Degrees) = Angle(Minutes) / 84.375
Substitution:
Substitute given weight Angle(Minutes) = 10 in the above formula.
Angle(Binary Degrees) = 10 / 84.375
Angle(Binary Degrees) = 0.1185
Final Answer:
Therefore, 10 ' is equal to 0.1185 °.
The angle is 0.1185 °, in binary degrees.
Minutes to Binary Degrees Conversion Table
The following table gives some of the most used conversions from Minutes to Binary Degrees.
Minutes (')
Binary Degrees (°)
0 '
0 °
1 '
0.01185185185°
10 '
0.1185°
45 '
0.5333°
90 '
1.0667°
180 '
2.1333°
360 '
4.2667°
1000 '
11.8519°
Minutes
Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations.
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 Minutes to Binary Degrees in Angle?
The formula to convert Minutes to Binary Degrees in Angle is:
Minutes / 84.375
2. Is this tool free or paid?
This Angle conversion tool, which converts Minutes to Binary Degrees, is completely free to use.
3. How do I convert Angle from Minutes to Binary Degrees?
To convert Angle from Minutes to Binary Degrees, you can use the following formula:
Minutes / 84.375
For example, if you have a value in Minutes, you substitute that value in place of Minutes in the above formula, and solve the mathematical expression to get the equivalent value in Binary Degrees.