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Beamsteering for phased arrays normally causes a pointing deviation of the main beam due to the periodic phase quantization error across the array. This deviation occurs due to the use of digital phase shifters. We modify the random phasing methods into appropriate random phasing methods, in which the accuracy of the pointing direction in phased arrays is improved. The word "appropriate" means that, for the phase quantization error, the rounding to the nearest bit method is not always to be applied, nor is the random phasing method. An appropriate mean phase error equal-to-zero method (AMPEEZ), an appropriate two probable value method (A2PV) and an appropriate phase-added method (APAM) are proposed. These methods are simulated and compared with the nonappropriate ones.