A satellite gateway frequency multiplexes 64 digital signals using a guard band of 500 Hz. Each signal (having a bandwidth of 30,000 Hz) is sampled at 20% higher than the Nyquist rate, quantized, and binary coded into a PCM signal before being multiplexed in the frequency domain. If the maximum acceptable quantization error in sample amplitudes is 0.5% of the peak signal voltage, find the minimum number of bits needed for the uniform quantizer. Find the minimum bandwidth required for the multiplexed signal. You can ignore signals outside the band of interest (corresponding to 64 digital signals).