Exercise 1.7 The following table shows the increase in clock rate and power of eight generations of Intel processors over 28 years.

Processor clock rate Power 80286 (1982) 12.5 MHz 3.3 W 80386 (1985) 16 MHz 4.1 W 80486 (1989) 25 MHz 4.9 W Pentium (1993) 66 MHz 10.1 W Pentium Pro (1997) 200 MHz 29.1 W Pentium 4 Willamette (2001) 2 GHz 75.3 W Pentium 4 Prescott (2004) 3.6 GHz 103 W Core 2 Ketsfi eld (2007) 2.667 GHz 95 W 1.7.1 [5] <1.5> What is the geometric mean of the ratios between consecutive generations for both clock rate and power? (The geometric mean is described in Section 1.7.)

1.7.2 [5] <1.5> What is the largest relative change in clock rate and power between generations?

1.7.3 [5] <1.5> How much larger is the clock rate and power of the last generation with respect to the fi rst generation?

Consider the following values for voltage in each generation.
Processor Voltage 80286 (1982) 5 80386 (1985) 5 80486 (1989) 5 Pentium (1993) 5 Pentium Pro (1997) 3.3 Pentium 4 Willamette (2001) 1.75 Pentium 4 Prescott (2004) 1.25 Core 2 Ketsfi eld (2007) 1.1 1.7.4 [5] <1.5> Find the average capacitive loads, assuming a negligible static power consumption.
1.7.5 [5] <1.5> Find the largest relative change in voltage between generations.
1.7.6 [5] <1.5> Find the geometric mean of the voltage ratios in the generations since the Pentium.