III. (a) For the circuit shown, develop the simplified equation for Vo. You must reduce the equation to the simplest form. You must show all the steps in the development. Marks are given for showing the complete algebraic reduction.
R1: 20K
R2: 120K Ω
4R: V Ω
2R: V Ω
R: V3 Ω
(b) Assuming V, V2, and V can be either 0V or 1V, create a three-bit truth table and calculate Vo for each input state. You must use the following left-to-right order in the table heading: VVmsb, VVi, Vlsb, Vo(V). Show a sample calculation for the 6th line of the table.
(c) In the blank state, the minimum change that can occur for Vo for a single change in the input state.