Integrated circuit chips packaged in plastic can typically dissipate only $1$ W per chip. Suppose we have an IC design that must fit on one chip and requires $100,000$ logic gates. $($a$)$ What is the average power that can be dissipated by each logic gate on the chip? $($b$)$ If a supply voltage of $2\mathrm{.}5$ V is used, how much current can be used by each gate? Assume a $50$ percent duty cycle