3. Rewrite the following complex numbers in z = x+jy format. (a) z = (2-j3) (-1+j2) (b) z = - (+)³ (c) z = = (1-j) ¹⁰ (d) z = =(−1+ j√3) + (e) z = (-2)¹ (f) z=(-1+j)¹

Problem 2: For the circuit in Figure 2, please finish the state transition table (Table 1). X D 91 D 92 9₁ 92 Clock Current state 9192 00 01 10 11 X = 1 Figure 2 Next state Table 1 X=0 output Z Z

Determine the expression for the output signal, Vout, in terms of Vm, Rj and R2. i. ii. Given the expression of the circuit above's output signal is Vour 3 0.5Vin, what is the maximum and minimum voltage that the input signal can have before the operational amplifier saturates.

A meter having 0-1000HA range and 10000 resistance is required to be changed to O-100 mA meter. The value of shunt resistance is about