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Binary degree or binary radian (brad) is 1 turn/256. In terms of the SI unit radians this is π/128 rad. The binary degree is used in computing so that an angle can be efficiently represented in a single byte.
In relation to the base unit of [angle] => (radians), 1 Binary Degrees (b deg) is equal to 0.0245436926 radians, while 1 Milliarcseconds (mas) = 4.8481368E-9 radians.| 1 Binary Degrees | to common angle units |
|---|---|
| 1 b deg | = 0.0245436926 radians (rad) |
| 1 b deg | = 24.5436926 milliradians (mrad/mil) |
| 1 b deg | = 24.999992462424 angular mils (µ mil) |
| 1 b deg | = 1.4062499448062 degrees (°deg) |
| 1 b deg | = 1.5625000262606 gradians (grad) |
| 1 b deg | = 84.375060504387 arcminutes (arcmin) |
| 1 b deg | = 5062.4998014701 arcseconds (arcsec) |
| 1 b deg | = 0.02343748994937 sextants (60°) |
| 1 b deg | = 0.046874890374332 signs (30°) |
| 1 b deg | = 0.0039062470814984 turns (t) |
| Binary Degrees | to Milliarcseconds (table conversion) |
|---|---|
| 1 b deg | = 5062500.0103132 mas |
| 2 b deg | = 10125000.020626 mas |
| 3 b deg | = 15187500.03094 mas |
| 4 b deg | = 20250000.041253 mas |
| 5 b deg | = 25312500.051566 mas |
| 6 b deg | = 30375000.061879 mas |
| 7 b deg | = 35437500.072193 mas |
| 8 b deg | = 40500000.082506 mas |
| 9 b deg | = 45562500.092819 mas |
| 10 b deg | = 50625000.103132 mas |
| 20 b deg | = 101250000.20626 mas |
| 30 b deg | = 151875000.3094 mas |
| 40 b deg | = 202500000.41253 mas |
| 50 b deg | = 253125000.51566 mas |
| 60 b deg | = 303750000.61879 mas |
| 70 b deg | = 354375000.72193 mas |
| 80 b deg | = 405000000.82506 mas |
| 90 b deg | = 455625000.92819 mas |
| 100 b deg | = 506250001.03132 mas |
| 200 b deg | = 1012500002.0626 mas |
| 300 b deg | = 1518750003.094 mas |
| 400 b deg | = 2025000004.1253 mas |
| 500 b deg | = 2531250005.1566 mas |
| 600 b deg | = 3037500006.1879 mas |
| 700 b deg | = 3543750007.2193 mas |
| 800 b deg | = 4050000008.2506 mas |
| 900 b deg | = 4556250009.2819 mas |
| 1000 b deg | = 5062500010.3132 mas |
| 2000 b deg | = 10125000020.626 mas |
| 4000 b deg | = 20250000041.253 mas |
| 5000 b deg | = 25312500051.566 mas |
| 7500 b deg | = 37968750077.349 mas |
| 10000 b deg | = 50625000103.132 mas |
| 25000 b deg | = 126562500257.83 mas |
| 50000 b deg | = 253125000515.66 mas |
| 100000 b deg | = 506250001031.32 mas |
| 1000000 b deg | = 5062500010313.2 mas |
| 1000000000 b deg | = 5.0625000103132E+15 mas |