How to use this Binary Degrees to Gradians Converter 🤔
Follow these steps to convert given angle from the units of Binary Degrees to the units of Gradians.
Enter the input Binary Degrees value in the text field.
The calculator converts the given Binary Degrees into Gradians in realtime ⌚ using the conversion formula, and displays under the Gradians label. You do not need to click any button. If the input changes, Gradians value is re-calculated, just like that.
You may copy the resulting Gradians 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 Gradians?
The formula to convert given angle from Binary Degrees to Gradians is:
Angle(Gradians) = Angle(Binary Degrees) × 1.5625
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 gradians, i.e., Angle(Gradians).
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 Gradians.
Answer:
Given:
The angle in binary degrees is:
Angle(Binary Degrees) = 90
Formula:
The formula to convert angle from binary degrees to gradians is:
Angle(Gradians) = Angle(Binary Degrees) × 1.5625
Substitution:
Substitute given weight Angle(Binary Degrees) = 90 in the above formula.
Angle(Gradians) = 90 × 1.5625
Angle(Gradians) = 140.625
Final Answer:
Therefore, 90 ° is equal to 140.625 gon.
The angle is 140.625 gon, in gradians.
2
Consider that the rotation needed for a robotic arm is 180 binary degrees. Convert this angle from binary degrees to Gradians.
Answer:
Given:
The angle in binary degrees is:
Angle(Binary Degrees) = 180
Formula:
The formula to convert angle from binary degrees to gradians is:
Angle(Gradians) = Angle(Binary Degrees) × 1.5625
Substitution:
Substitute given weight Angle(Binary Degrees) = 180 in the above formula.
Angle(Gradians) = 180 × 1.5625
Angle(Gradians) = 281.25
Final Answer:
Therefore, 180 ° is equal to 281.25 gon.
The angle is 281.25 gon, in gradians.
Binary Degrees to Gradians Conversion Table
The following table gives some of the most used conversions from Binary Degrees to Gradians.
Binary Degrees (°)
Gradians (gon)
0 °
0 gon
1 °
1.5625gon
10 °
15.625gon
45 °
70.3125gon
90 °
140.625gon
180 °
281.25gon
360 °
562.5gon
1000 °
1562.5gon
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.
Gradians
Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Binary Degrees to Gradians in Angle?
The formula to convert Binary Degrees to Gradians in Angle is:
Binary Degrees * 1.5625
2. Is this tool free or paid?
This Angle conversion tool, which converts Binary Degrees to Gradians, is completely free to use.
3. How do I convert Angle from Binary Degrees to Gradians?
To convert Angle from Binary Degrees to Gradians, you can use the following formula:
Binary Degrees * 1.5625
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 Gradians.
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"formula": "x * 1.5625",
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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 Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Binary Degrees)</sub></span> × 1.5625</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>(Gradians)</sub></span> = <span>90</span> × 1.5625</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 140.625</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 °</strong> is equal to <strong>140.625 gon</strong>.</p>\n <p>The angle is <strong>140.625 gon</strong>, in gradians.</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 Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Binary Degrees)</sub></span> × 1.5625</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>(Gradians)</sub></span> = <span>180</span> × 1.5625</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 281.25</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>180 °</strong> is equal to <strong>281.25 gon</strong>.</p>\n <p>The angle is <strong>281.25 gon</strong>, in gradians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Binary Degrees</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Binary Degrees to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Binary Degrees (<span class=\"unit\">°</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">°</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>1<span>.5625</span> <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>15<span>.625</span> <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>70<span>.3125</span> <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>140<span>.625</span> <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>281<span>.25</span> <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>562<span>.5</span> <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>1562<span>.5</span> <span class=\"unit\">gon</span></td></tr></table>",
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