How to use this Gradians to Binary Degrees Converter 🤔
Follow these steps to convert given angle from the units of Gradians to the units of Binary Degrees.
Enter the input Gradians value in the text field.
The calculator converts the given Gradians 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 Gradians to Binary Degrees?
The formula to convert given angle from Gradians to Binary Degrees is:
Angle(Binary Degrees) = Angle(Gradians) / 1.5625
Substitute the given value of angle in gradians, i.e., Angle(Gradians) 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 precision engineering tool adjusts by 100 gradians. Convert this angle from gradians to Binary Degrees.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 100
Formula:
The formula to convert angle from gradians to binary degrees is:
Angle(Binary Degrees) = Angle(Gradians) / 1.5625
Substitution:
Substitute given weight Angle(Gradians) = 100 in the above formula.
Angle(Binary Degrees) = 100 / 1.5625
Angle(Binary Degrees) = 64
Final Answer:
Therefore, 100 gon is equal to 64 °.
The angle is 64 °, in binary degrees.
2
Consider that a civil engineer designs a slope with an angle of 90 gradians. Convert this angle from gradians to Binary Degrees.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 90
Formula:
The formula to convert angle from gradians to binary degrees is:
Angle(Binary Degrees) = Angle(Gradians) / 1.5625
Substitution:
Substitute given weight Angle(Gradians) = 90 in the above formula.
Angle(Binary Degrees) = 90 / 1.5625
Angle(Binary Degrees) = 57.6
Final Answer:
Therefore, 90 gon is equal to 57.6 °.
The angle is 57.6 °, in binary degrees.
Gradians to Binary Degrees Conversion Table
The following table gives some of the most used conversions from Gradians to Binary Degrees.
Gradians (gon)
Binary Degrees (°)
0 gon
0 °
1 gon
0.64°
10 gon
6.4°
45 gon
28.8°
90 gon
57.6°
180 gon
115.2°
360 gon
230.4°
1000 gon
640 °
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.
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 Gradians to Binary Degrees in Angle?
The formula to convert Gradians to Binary Degrees in Angle is:
Gradians / 1.5625
2. Is this tool free or paid?
This Angle conversion tool, which converts Gradians to Binary Degrees, is completely free to use.
3. How do I convert Angle from Gradians to Binary Degrees?
To convert Angle from Gradians to Binary Degrees, you can use the following formula:
Gradians / 1.5625
For example, if you have a value in Gradians, you substitute that value in place of Gradians in the above formula, and solve the mathematical expression to get the equivalent value in Binary Degrees.
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"y_slug": "binary_degrees",
"x": "gon",
"y": "°",
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"y_desc": "Binary Degrees",
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"symbol": "m",
"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 precision engineering tool adjusts by 100 gradians.<br>Convert this angle from gradians to Binary Degrees.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 100</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to binary degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Binary Degrees)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 1.5625</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 100</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = <span>100</span> / 1.5625</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = 64</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>100 gon</strong> is equal to <strong>64 °</strong>.</p>\n <p>The angle is <strong>64 °</strong>, in binary degrees.</p>\n </div>\n <div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">2</span>\n <h3 class=\"question\">Consider that a civil engineer designs a slope with an angle of 90 gradians.<br>Convert this angle from gradians to Binary Degrees.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 90</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to binary degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Binary Degrees)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 1.5625</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 90</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = <span>90</span> / 1.5625</p>\n <p class=\"step\"><span>Angle<sub>(Binary Degrees)</sub></span> = 57.6</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 gon</strong> is equal to <strong>57.6 °</strong>.</p>\n <p>The angle is <strong>57.6 °</strong>, in binary degrees.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Gradians</span> to <span class=\"y\">Binary Degrees</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Gradians to Binary Degrees.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><th scope=\"column\" role=\"columnheader\">Binary Degrees (<span class=\"unit\">°</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">gon</span></td><td>0 <span class=\"unit\">°</span></td></tr><tr><td>1 <span class=\"unit\">gon</span></td><td>0<span>.64</span> <span class=\"unit\">°</span></td></tr><tr><td>10 <span class=\"unit\">gon</span></td><td>6<span>.4</span> <span class=\"unit\">°</span></td></tr><tr><td>45 <span class=\"unit\">gon</span></td><td>28<span>.8</span> <span class=\"unit\">°</span></td></tr><tr><td>90 <span class=\"unit\">gon</span></td><td>57<span>.6</span> <span class=\"unit\">°</span></td></tr><tr><td>180 <span class=\"unit\">gon</span></td><td>115<span>.2</span> <span class=\"unit\">°</span></td></tr><tr><td>360 <span class=\"unit\">gon</span></td><td>230<span>.4</span> <span class=\"unit\">°</span></td></tr><tr><td>1000 <span class=\"unit\">gon</span></td><td>640 <span class=\"unit\">°</span></td></tr></table>",
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