An angle encoder has first and second components rotatable with respect to each other, and an encoder pattern having codewords for indicating the angle between the first and second components. The encoder pattern has a set of base encoder channels coded with a conventional Gray code, and a set of Booster channels for improving the resolution of angle measurement.

A method of generating animal identification codes is described. A first and second number are selected, then each number is compared respectively against previously used first and previously used second numbers in a pool. Such comparing uses a computed distance based on how the numbers will be encoded and marked on an animal, such as a Hamming distance of printed symbologies. If the distance computed for either the first or second number is below a distance threshold, that number is discarded and another number is selected. When both numbers pass the distance test, they are added as a pair into the pool. Pairs from the pool may be encoded and marked on an animal. The encoding of the first number may generate a human-readable mark while a different encoding of the second number generates a machine-readable mark.

An angle encoder has first and second components rotatable with respect to each other, and an encoder pattern having codewords for indicating the angle between the first and second components. The encoder pattern has a set of base encoder channels coded with a conventional Gray code, and a set of Booster channels for improving the resolution of angle measurement.

An angle encoder has first and second components rotatable with respect to each other, and an encoder pattern having codewords for indicating the angle between the first and second components. The encoder pattern has a set of base encoder channels coded with a conventional Gray code, and a set of Booster channels for improving the resolution of angle measurement.

An analog-to-digital converter is provided which is configured to output an n-bit signal in response to an analog input signal. n is greater than 1. The converter comprises n comparators, where each comparator is configured to output one bit of the n-bit signal and comprising a first input and a second input. A first comparator is configured to receive the analog input signal at its first input and a reference value at its second input and to output the first, most significant bit of the n-bit signal. For the remaining comparators, an i-th comparator, i=2 . . . n, is configured to output an i-th bit, the analog-to-digital converter comprises a respective i-th input device. The i-th input device is configured to selectively provide one of 2.sup.i1 reference values to one of the first or second input of the i-th comparator and the analog input signal to the other one of the first or second input of the i-th comparator, such that the n-bit signal is a Gray code representation of the analog input signal.