Binary number digit represents. For example, the binary number 100101 is converted to decimal form as follows: Fractions in binary only terminate if the denominator has 2 as the only prime factor. As a result, 1/10 does not have a finite binary representation, and this causes 10 × 0.1 not to be precisely equal to 1 in floating point arithmetic. As an example, to interpret the binary expression for 1/3 = .010101..., this means: 1/3 = 0 × 2 + 1 × 2 + 0 × 2 + 1 × 2 + ... = 0.3125 + ... An exact value cannot be
Binary scaling angles are added using normal two's complement mathematics, the rotation of the angles is correct, even when crossing the sign boundary (this of course does away with checks for angle ≥ 360° when handling normal degrees). The terms binary angular measurement (BAM) and binary angular measurement system (BAMS) as well as brads (binary radians or binary degree) refer to implementations of binary angles. They find use in robotics, navigation, computer games, and digital sensors. No matter what bit-pattern is stored in a binary angle, when it is multiplied by 180° (or π) using standard signed fixed-point arithmetic, the result is