14.3 For a particular inverter design using a power supply $V_{DD}$, $V_{OL} = 0.1V_{DD}$, $V_{OH} = 0.8V_{DD}$, and $V_{IL} = 0.4V_{DD}$, and $V_{IH} = 0.6V_{DD}$. What are the noise margins? What is the width of the transition region? For a minimum noise margin of 1 V, what value of $V_{DD}$ is required?