1. To calculate \( V_{inL} \):
\[ V_{inL} = \frac{R1}{R1 + R2} \cdot (V_{OL} - V_{ref}) + V_{ref} \]
2. To calculate \( V_{inH} \):
\[ V_{inH} = \frac{R1}{R1 + R2} \cdot (V_{OH} - V_{ref}) + V_{ref} \]
3. To calculate Hysteresis \( H \):
\[ H = \frac{R1}{R1 + R2} \cdot (V_{OH} - V_{OL}) \]
Let's assume the following values:
Step 1: Compute the lower threshold voltage:
\[ V_{inL} = \frac{10}{10 + 100} \cdot (0 - 2.5) + 2.5 = \frac{10}{110} \cdot (-2.5) + 2.5 = -0.227 + 2.5 = 2.27 \text{ V} \]
Step 2: Compute the upper threshold voltage:
\[ V_{inH} = \frac{10}{10 + 100} \cdot (5 - 2.5) + 2.5 = \frac{10}{110} \cdot 2.5 + 2.5 = 0.227 + 2.5 = 2.73 \text{ V} \]
Step 3: Compute the hysteresis:
\[ H = \frac{10}{10 + 100} \cdot (5 - 0) = \frac{10}{110} \cdot 5 = 0.454 \text{ V} \]