Based on the simplification of the addition operations in a low-power bypassingbased multiplier, a low-cost low-power bypassingbased multiplier is proposed. Compared with rowbypassing multiplier, column-bypassing multiplier and 2-dimensional bypassing-based multiplier for 20 tested examples, the experimental results show that our proposed low-cost low power multiplier saves 15.1% of hardware cost and reduces 29.6% of the power dissipation on the average for 4x4, 8x8 and 16x16 multipliers.