Determine the highest value of pull$-$down resistor that could be used in a logic switch at the input of a $74$ASXX device input.

$\backslash$table$[[74$ ASXX Gate Characteristics$],[V_{IH(min)},2\mathrm{.}0$ V$],[V_{IL(max)},0\mathrm{.}8$ V$],[V_{OH(min)},2\mathrm{.}5$ V$],[V_{OL(max)},0\mathrm{.}5$ V$],[I_{IH(max)},20A$