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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 Milliarcseconds (mas) is equal to 4.8481368E-9 radians, while 1 Binary Degrees (b deg) = 0.0245436926 radians.| 1 Milliarcseconds | to common angle units |
|---|---|
| 1 mas | = 4.8481368E-9 radians (rad) |
| 1 mas | = 4.8481368E-6 milliradians (mrad/mil) |
| 1 mas | = 4.9382701059742E-6 angular mils (µ mil) |
| 1 mas | = 2.7777776630942E-7 degrees (°deg) |
| 1 mas | = 3.0864197986715E-7 gradians (grad) |
| 1 mas | = 1.6666678584197E-5 arcminutes (arcmin) |
| 1 mas | = 0.00099999995874704 arcseconds (arcsec) |
| 1 mas | = 4.6296276348885E-9 sextants (60°) |
| 1 mas | = 9.2592375859435E-9 signs (30°) |
| 1 mas | = 7.7160436020556E-10 turns (t) |
| Milliarcseconds | to Binary Degrees (table conversion) |
|---|---|
| 1 mas | = 1.9753086379512E-7 b deg |
| 2 mas | = 3.9506172759025E-7 b deg |
| 3 mas | = 5.9259259138537E-7 b deg |
| 4 mas | = 7.901234551805E-7 b deg |
| 5 mas | = 9.8765431897562E-7 b deg |
| 6 mas | = 1.1851851827707E-6 b deg |
| 7 mas | = 1.3827160465659E-6 b deg |
| 8 mas | = 1.580246910361E-6 b deg |
| 9 mas | = 1.7777777741561E-6 b deg |
| 10 mas | = 1.9753086379512E-6 b deg |
| 20 mas | = 3.9506172759025E-6 b deg |
| 30 mas | = 5.9259259138537E-6 b deg |
| 40 mas | = 7.901234551805E-6 b deg |
| 50 mas | = 9.8765431897562E-6 b deg |
| 60 mas | = 1.1851851827707E-5 b deg |
| 70 mas | = 1.3827160465659E-5 b deg |
| 80 mas | = 1.580246910361E-5 b deg |
| 90 mas | = 1.7777777741561E-5 b deg |
| 100 mas | = 1.9753086379512E-5 b deg |
| 200 mas | = 3.9506172759025E-5 b deg |
| 300 mas | = 5.9259259138537E-5 b deg |
| 400 mas | = 7.901234551805E-5 b deg |
| 500 mas | = 9.8765431897562E-5 b deg |
| 600 mas | = 0.00011851851827707 b deg |
| 700 mas | = 0.00013827160465659 b deg |
| 800 mas | = 0.0001580246910361 b deg |
| 900 mas | = 0.00017777777741561 b deg |
| 1000 mas | = 0.00019753086379512 b deg |
| 2000 mas | = 0.00039506172759025 b deg |
| 4000 mas | = 0.0007901234551805 b deg |
| 5000 mas | = 0.00098765431897562 b deg |
| 7500 mas | = 0.0014814814784634 b deg |
| 10000 mas | = 0.0019753086379512 b deg |
| 25000 mas | = 0.0049382715948781 b deg |
| 50000 mas | = 0.0098765431897562 b deg |
| 100000 mas | = 0.019753086379512 b deg |
| 1000000 mas | = 0.19753086379512 b deg |
| 1000000000 mas | = 197.53086379512 b deg |