Convert Binary Degrees to Warsaw Pact Mils

Convert Binary Degrees (brad) to Warsaw Pact Mils (mil (WP)) instantly and accurately.

Binary Degrees (brad)
Warsaw Pact Mils (mil (WP))

Conversion Formula

mil (WP) = brad × 23.4375

About Binary Degrees

A binary degree (brad) divides the full circle into 256 equal parts - π/128 rad ≈ 0.024544 rad (= 1.40625°). The 256-part circle maps perfectly onto an 8-bit byte, making binary degrees ideal for memory-constrained embedded systems: headings stored in a single byte (0-255) need no floating-point arithmetic. Game engines, CNC machine controllers, and digital servo systems use this representation. 16-bit BAM (65,536 per circle) gives ~0.005° (≈ 89 µrad) per unit for precision heading systems. 1 brad = 1.40625° = 84.375′.

About Warsaw Pact Mils

The Warsaw Pact mil equals 1/6,000 of a full circle - π/3,000 rad ≈ 1.0472 mrad. The Soviet military adopted this system, dividing the circle into 6,000 parts instead of the NATO standard 6,400. A full circle = 6,000 WP mils; a right angle = 1,500 mils. Used by Russia, Ukraine, Belarus, Finland, and other post-Soviet states. The 6.7% difference between WP and NATO mils (6,000 vs 6,400 per circle) can cause targeting errors of >1.5 m at 1,000 m if confused. 1 WP mil ≈ 1.0472 mrad = π/3,000 rad.

Quick Reference Table

Binary Degrees (brad)Warsaw Pact Mils (mil (WP))
1 brad23.4375 mil (WP)
2 brad46.875 mil (WP)
5 brad117.188 mil (WP)
10 brad234.375 mil (WP)
25 brad585.938 mil (WP)
50 brad1171.88 mil (WP)
100 brad2343.75 mil (WP)

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