1. Variable unit16_t dac_value = 0x0800 is written by software to DAC channel used in 12-bit right-aligned mode. DAC reference voltage is 3.0V. determine DAC output voltage. Show your work.

To determine the DAC output voltage, we need to use the formula:

DAC output voltage = (DAC value / (2^n - 1)) * Vref

Where:
- DAC value is the decimal representation of the hexadecimal value 0x0800, which is 2048.
- n is the resolution of the DAC, which is 12 bits (2^12 = 4096).
- Vref is the reference voltage, which is 3.0V.

Plugging in these values into the formula, we get:

DAC output voltage = (2048 / (4096 - 1)) * 3.0
= (2048 / 4095) * 3.0
= 0.4998 * 3.0
= 1.4994V

Therefore, the DAC output voltage is approximately 1.4994V.

2. Determine the output frequency fout of a DDS system having 32-bit phase accumulator if DDS clock frequency fclk is 120 kHz and the value of the frequency tuning code M is 196608. Show your work.