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1. Convert Online
2. Unit
3. Angle
4. Binary Degrees to Milli-radians

{
  "conversion": "binary_degrees-milliradians",
  "x_slug": "binary_degrees",
  "y_slug": "milliradians",
  "x": "°",
  "y": "mrad",
  "x_desc": "Binary Degrees",
  "y_desc": "Milli-radians",
  "category": "Angle",
  "symbol": "m",
  "formula": "x * 2000 * π / 256",
  "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 Milli-radians.</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 milli-radians is:</p>\n        <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Binary Degrees)</sub></span>  &times;  2000  &times;  π / 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>(Milli-radians)</sub></span> = <span>90</span>  &times;  2000  &times;  3.14159265359 / 256</p>\n        <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 2208.9323</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>90 °</strong> is equal to <strong>2208.9323 mrad</strong>.</p>\n        <p>The angle  is <strong>2208.9323 mrad</strong>, in milli-radians.</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 Milli-radians.</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 milli-radians is:</p>\n        <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Binary Degrees)</sub></span>  &times;  2000  &times;  π / 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>(Milli-radians)</sub></span> = <span>180</span>  &times;  2000  &times;  3.14159265359 / 256</p>\n        <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 4417.8647</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>180 °</strong> is equal to <strong>4417.8647 mrad</strong>.</p>\n        <p>The angle  is <strong>4417.8647 mrad</strong>, in milli-radians.</p>\n        </div>\n      ",
  "table1n": "<h2><span class=\"x\">Binary Degrees</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Binary Degrees to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Binary Degrees (<span class=\"unit\">°</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">°</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>24<span>.5437</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>245<span>.4369</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>1104<span>.4662</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>2208<span>.9323</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>4417<span>.8647</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>8835<span>.7293</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>24543<span>.6926</span> <span class=\"unit\">mrad</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"
    ]
  ],
  "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.",
  "y_long_desc": "Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments."
}