Draw a signal flow graph for the following set of algebraic equations: $$$\begin{array}{l}y_2=ay_1-\;gy_3\\y_3=ey_2+\;cy_4\\y_4=by_2-dy_4\end{array}$$$ Hence, find the gains $$\frac{y_2}{y_1}$$ and $$\frac{y_3}{y_1}$$.

The transfer function of a tachometer is of the form

The mod-5 counter shown in figure counts through states Q₂ Q₁ Q₀ = 000, 001, 010, 011 and 100.

(a) Will the counter lockout if it happens to be in any one of the unused states?

(b) Find the maximum rate at which the counter will operate satisfactorily. Assume the propagation delays of flip-flop and AND gate to be t_F and t_A

For an ADC, match the following : if
List 1
A. Flash converter
B. Dual slope converter
C. Successive approximation Converter

List 2
1. requires a conversion time of the order of a few seconds
2. requires a digital- to- analog converter
3. minimizes the effect of power supply interference.
4. requires a very complex hardware.
5. It is a tracking A/D converter.