Question: Scaling of On-Chip Power Distribution: The router chip of Figure 1-1 draws 12 A average current with the waveform shown in Figure 1-8
(a). The peak instantaneous current here is 36 A. This p0wer is distributed over a comb of thin-film aluminum conductors, as shown in Figure I-8
(b). If these conductors have a resistivity of 0.04 W square, and the current draw is distributed uniformly across the chip, 8 Booth recoding allows the multiplication to be performed with a 32 x 16 array rather than a 32 x 32 array. What is the worst-case drop across one tine of the comb? Express this quantity as an absolute voltage and as a fraction of the power supply. Assume the number you just calculated applies to a chip in 1995. Applying the scaling relationships for ( R, and V from Table, what do you expect the IR drop to be (in volts and% supply) in the years 2000, 2005, and 2010?
