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Find the output voltage for the digital input combinations

The diagram of FIGURE 1 shows a 3 input R/2R digital to analogue converter circuit. By working back from the output (or otherwise) to find the equivalent input resistance in order to determine the input voltage, show that the output voltage values for the following digital input combinations are as shown below:

Please refer to attachment for Figure and details.


Solution Summary

We first find the Thevenin equivalent to the given circuit and the output voltages for different input combinations are subsequently determined.