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This article presents the design of a fully concurrent dual-band Low Noise Amplifier (LNA) operating in the GSM 0.9GHz & BLUETOOTH 2.4GHz communication standards. The fully concurrent LNA is designed and simulated in CADENCE using 130nm UMC technology. The dual-band LNA has been designed from the system viewpoint to provide a higher gain at the high band in order to compensate the high-band signal's extra loss over the air transmission. The current design is especially suitable for use in multi-standard wireless receiver front ends as it saves die area and reduces power consumption by replacing parallel LNAs for each channel frequency. Simulation results indicate a Noise Figure below 2dB and S21 above 14 dB in all frequency bands while drawing 10mA current from a 1.2V power supply.