Diameter Parts to Binary Degrees Converter

Enter Diameter Parts


Binary Degrees





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How to use this Diameter Parts to Binary Degrees Converter 🤔

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

  1. Enter the input Diameter Parts value in the text field.
  2. The calculator converts the given Diameter Parts 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 Diameter Parts to Binary Degrees?

The formula to convert given angle from Diameter Parts to Binary Degrees is:

Angle(Binary Degrees) = Angle(Diameter Parts) × 256 / 376.991

Substitute the given value of angle in diameter parts, i.e., Angle(Diameter Parts) 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 mechanical watch's gear rotates by 12 diameter parts.
Convert this rotation from diameter parts to Binary Degrees.

Answer:

Given:

The angle in diameter parts is:

Angle(Diameter Parts) = 12

Formula:

The formula to convert angle from diameter parts to binary degrees is:

Angle(Binary Degrees) = Angle(Diameter Parts) × 256 / 376.991

Substitution:

Substitute given weight Angle(Diameter Parts) = 12 in the above formula.

Angle(Binary Degrees) = 12 × 256 / 376.991

Angle(Binary Degrees) = 8.1487

Final Answer:

Therefore, 12 diameter part is equal to 8.1487 °.

The angle is 8.1487 °, in binary degrees.

2

Consider that a precision tool rotates by 16 diameter parts for accurate measurements.
Convert this rotation from diameter parts to Binary Degrees.

Answer:

Given:

The angle in diameter parts is:

Angle(Diameter Parts) = 16

Formula:

The formula to convert angle from diameter parts to binary degrees is:

Angle(Binary Degrees) = Angle(Diameter Parts) × 256 / 376.991

Substitution:

Substitute given weight Angle(Diameter Parts) = 16 in the above formula.

Angle(Binary Degrees) = 16 × 256 / 376.991

Angle(Binary Degrees) = 10.865

Final Answer:

Therefore, 16 diameter part is equal to 10.865 °.

The angle is 10.865 °, in binary degrees.

Diameter Parts to Binary Degrees Conversion Table

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

Diameter Parts (diameter part)Binary Degrees (°)
0 diameter part0 °
1 diameter part0.6791 °
10 diameter part6.7906 °
45 diameter part30.5578 °
90 diameter part61.1155 °
180 diameter part122.231 °
360 diameter part244.4621 °
1000 diameter part679.0613 °

Diameter Parts

Diameter parts are a less common unit of angular measurement, historically used to describe angles in terms of the fractional parts of a circle's diameter. This unit was more prevalent in classical geometry and certain types of mechanical design, where direct relationships between linear measurements and angles were essential.

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 Diameter Parts to Binary Degrees in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Diameter Parts to Binary Degrees?