Final answer:
To design an 8-bit digital to analog converter (DAC) using an ideal op-amp with a dynamic range of 0 - 5V, you can use a resistor ladder network. The output voltage can be calculated using a formula, and the resistor values can be calculated using another formula. A table is provided to show the input/output relationship.
Step-by-step explanation:
To design an 8-bit digital to analog converter (DAC) using an ideal op-amp, you can use a resistor ladder network. The resistor ladder network consists of 8 resistors connected in a ladder-like cascade arrangement. Each resistor is connected to a binary-weighted input. The output voltage of the DAC can be calculated using the formula:
Vout = (Vin / (2^8 - 1)) * Vref
Where Vin is the decimal value of the 8-bit input, Vref is the reference voltage (5V in this case), and Vout is the output voltage.
To calculate the values of the resistors, you can use the formula:
R = (Vref / (2^8 - 1)) * ((2^n - 1) / (2^n))
Where R is the resistance value and n is the position of the resistor in the ladder network.
Here is a table showing the input/output relationship of the 8-bit DAC:
Input (Decimal)Input (Binary)Output Voltage (V)00000000001000000010.01962000000100.0392.........255111111115