If a 10-bit Flash converter is designed, determine the maximum offset voltage of the comparators which will make the INL less than ½ LSB. Assume that the resistor string is perfectly matched and V_{REF} = 5 V.
Equation (29.48) requires that the offset voltage equal ½ LSB. Therefore,
\left|{I}{N}{L}\right|_{m a x}=\frac{V_{RE F}}{2}\cdot\left|\frac{\Delta R_{k}}{R}\right|_{m a x}+\left|V_{o s,i}\right|_{m a x} (29.48)
\left|\,V_{o s}\right|_{m a x}=\frac{5}{2^{11}}=2.44\:\mathrm{mV}