The inputs to a digital circuit are as shown below. The output Y is

The I-V characteristics graph shown below is exhibited by

A diode is connected in parallel with a resistance as shown in Figure. The most probable current (I) - voltage (V) characteristic is

Manufacturers supply a zener diode with zener voltage $\mathrm{V}_{\mathrm{z}}=5.6 \mathrm{~V}$ and maximum power dissipation $P_{\mathrm{z}, \max }=\frac{1}{4} \mathrm{~W}$. This zener diode is used in the following circuit. Calculate the minimum value of the resistance $R_s$ in the circuit so that the zener diode will not burn when the input voltage is $\mathrm{V}_{\mathrm{in}}=10 \mathrm{~V}$.