How to use this Binary Degrees to Gradians Converter 🤔
Follow these steps to convert given Binary Degrees value from Binary Degrees units to Gradians units.
Enter the input Binary Degrees value in the text field.
The given Binary Degrees is converted to Gradians in realtime ⌚ using the formula, and displayed under the Gradians label.
You may copy the resulting Gradians value using the Copy button.
Formula
To convert given angle from Binary Degrees to Gradians, use the following formula.
Gradians = Binary Degrees * 1.5625
Calculation
Calculation will be done after you enter a valid input.
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.
{
"conversion": "binary_degrees-gradians",
"x_slug": "binary_degrees",
"y_slug": "gradians",
"x": "°",
"y": "gon",
"x_desc": "Binary Degrees",
"y_desc": "Gradians",
"category": "Angle",
"symbol": "m",
"formula": "x * 1.5625",
"precision": 11,
"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 ",
"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>",
"units": [
[
"degrees",
"Degrees",
"°"
],
[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
"gon"
],
[
"minutes",
"Minutes",
"'"
],
[
"seconds",
"Seconds",
"\""
],
[
"turns",
"Turns",
"turn"
],
[
"circles",
"Circles",
"circle"
],
[
"binary_degrees",
"Binary Degrees",
"°"
],
[
"compass_points",
"Compass Points",
"compass point"
],
[
"diameter_part",
"Diameter Parts",
"diameter part"
],
[
"hexacontades",
"Hexa-Contades",
"hexacontade"
],
[
"hour_angles",
"Hour Angles",
"hour angle"
],
[
"right_angles",
"Right Angles",
"right angle"
],
[
"milliradians",
"Milli-radians",
"mrad"
],
[
"quadrants",
"Quadrants",
"quadrant"
],
[
"sextants",
"Sextants",
"sextant"
],
[
"pi_radians",
"π Radians",
"π radians"
],
[
"zam",
"Zam",
"zam"
]
],
"y_long_desc": "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.",
"x_long_desc": "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."
}