How to use this Binary Degrees to Turns Converter 🤔
Follow these steps to convert given angle from the units of Binary Degrees to the units of Turns.
Enter the input Binary Degrees value in the text field.
The calculator converts the given Binary Degrees into Turns in realtime ⌚ using the conversion formula, and displays under the Turns label. You do not need to click any button. If the input changes, Turns value is re-calculated, just like that.
You may copy the resulting Turns 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 Turns?
The formula to convert given angle from Binary Degrees to Turns is:
Angle(Turns) = Angle(Binary Degrees) / 256
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 turns, i.e., Angle(Turns).
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 Turns.
Answer:
Given:
The angle in binary degrees is:
Angle(Binary Degrees) = 90
Formula:
The formula to convert angle from binary degrees to turns is:
Angle(Turns) = Angle(Binary Degrees) / 256
Substitution:
Substitute given weight Angle(Binary Degrees) = 90 in the above formula.
Angle(Turns) = 90 / 256
Angle(Turns) = 0.3516
Final Answer:
Therefore, 90 ° is equal to 0.3516 turn.
The angle is 0.3516 turn, in turns.
2
Consider that the rotation needed for a robotic arm is 180 binary degrees. Convert this angle from binary degrees to Turns.
Answer:
Given:
The angle in binary degrees is:
Angle(Binary Degrees) = 180
Formula:
The formula to convert angle from binary degrees to turns is:
Angle(Turns) = Angle(Binary Degrees) / 256
Substitution:
Substitute given weight Angle(Binary Degrees) = 180 in the above formula.
Angle(Turns) = 180 / 256
Angle(Turns) = 0.7031
Final Answer:
Therefore, 180 ° is equal to 0.7031 turn.
The angle is 0.7031 turn, in turns.
Binary Degrees to Turns Conversion Table
The following table gives some of the most used conversions from Binary Degrees to Turns.
Binary Degrees (°)
Turns (turn)
0 °
0 turn
1 °
0.00390625turn
10 °
0.0390625turn
45 °
0.1758turn
90 °
0.3516turn
180 °
0.7031turn
360 °
1.4063turn
1000 °
3.9063turn
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.
Turns
A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Binary Degrees to Turns in Angle?
The formula to convert Binary Degrees to Turns in Angle is:
Binary Degrees / 256
2. Is this tool free or paid?
This Angle conversion tool, which converts Binary Degrees to Turns, is completely free to use.
3. How do I convert Angle from Binary Degrees to Turns?
To convert Angle from Binary Degrees to Turns, you can use the following formula:
Binary Degrees / 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 Turns.
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"formula": "x / 256",
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"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a digital compass in a drone reads 90 binary degrees for navigation.<br>Convert this angle from binary degrees to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in binary degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = 90</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from binary degrees to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Binary Degrees)</sub></span> / 256</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Binary Degrees)</sub> = 90</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>90</span> / 256</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.3516</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 °</strong> is equal to <strong>0.3516 turn</strong>.</p>\n <p>The angle is <strong>0.3516 turn</strong>, in turns.</p>\n </div>\n <div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">2</span>\n <h3 class=\"question\">Consider that the rotation needed for a robotic arm is 180 binary degrees.<br>Convert this angle from binary degrees to Turns.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in binary degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = 180</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from binary degrees to turns is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Turns)</sub></span> = <span>Angle<sub>(Binary Degrees)</sub></span> / 256</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Binary Degrees)</sub> = 180</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = <span>180</span> / 256</p>\n <p class=\"step\"><span>Angle<sub>(Turns)</sub></span> = 0.7031</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>180 °</strong> is equal to <strong>0.7031 turn</strong>.</p>\n <p>The angle is <strong>0.7031 turn</strong>, in turns.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Binary Degrees</span> to <span class=\"y\">Turns</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Binary Degrees to Turns.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Binary Degrees (<span class=\"unit\">°</span>)</th><th scope=\"column\" role=\"columnheader\">Turns (<span class=\"unit\">turn</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">°</span></td><td>0 <span class=\"unit\">turn</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>0<span>.00390625</span> <span class=\"unit\">turn</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>0<span>.0390625</span> <span class=\"unit\">turn</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>0<span>.1758</span> <span class=\"unit\">turn</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>0<span>.3516</span> <span class=\"unit\">turn</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>0<span>.7031</span> <span class=\"unit\">turn</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>1<span>.4063</span> <span class=\"unit\">turn</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>3<span>.9063</span> <span class=\"unit\">turn</span></td></tr></table>",
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