1.The reference voltage for a 12-bit DAC is 3.0V. Determine DAC output voltage if the specified
digital code is converted and the DAC is used in 12-bit right-aligned mode. Show your work.
In a 12-bit DAC, there are a total of 2^12 = 4096 possible digital codes.
To determine the DAC output voltage, we need to determine the voltage step size (Vstep) and the output voltage corresponding to the specified digital code.
The voltage resolution (Vres) of the DAC can be calculated by dividing the reference voltage by the total number of digital codes:
Vres = 3.0V / 4096 = 0.00073242V
In right-aligned mode, the DAC output voltage (Vout) is given by:
Vout = Vref × (digital code / (2^N - 1))
Where:
- Vref is the reference voltage (3.0V in this case)
- digital code is the specified digital code
- N is the number of bits in the DAC (12 in this case)
Let's say the specified digital code is 2750.
Vout = 3.0V × (2750 / (2^12 - 1))
= 3.0V × (2750 / 4095)
= 2.0199V
Therefore, the DAC output voltage for the specified digital code is approximately 2.0199V.