Derive the simplest state diagram and state table of a Moore-type FSM that has one nput w and one output z. The FSM generates z=1 at the next clock cycle after it detects the pattern "001" on w, otherwise z=0. For example, v= 1 100 1000 = = 00000100 nclude an input to perform reset. You just need to derive the state diagram and state table. You don't have to obtain he circuit.)

A combinational circuit has three inputs (C,1,,1o) and two outputs (01,00). The function is implemented as the following: If C = 0, then O,00 becomes I, 1o. If C = 1, then O,0, becomes (1,11)+1. For example, if C = 1 and 1, is 01, 0,0, becomes 10. Note that, if I, 1, is 11 and = 1, then the output value wraps around 00, without any overflow. %3D F Oo The Boolean expression for 01 and O0 and in sum of minterms form are: Select one: None of the above. Oo = E(2,3,4,5) Oc 01 = E(2,3,5,6) 0, = E(1,3,4,6) O01Σ (1,3,5,6) 00Σ( 2,3,4,5) O c. %3D 0 Σ(1,3,5,6) 0,-Σ(2,3,4,5)

Write your own code to solve the transcendental equation for a symmetric slab waveguide in terms of normalized parameters. Show that the code works for a variety of thicknesses, index contrasts and wavelengths (a few each). Matlab will use fzero function, while in Python it is fsolve. Alternatively, the code can look for the intersection of 2 curves graphically.

3. Below is the characteristic table for a "GP" flip-flop (it doesn't really exist; I just made it up). Q+ 1 G 0 0 1 1 a. P 0 1 0 Q Q 0 Give the excitation table for this flip-flop. b. Suppose we wanted to implement the serial adder we developed in class using a GP flip-flop, give the equations necessary for the G and P inputs.