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Solution to Moore’s Law

Folks,

In a recent post, I discussed Moore’s Law. I challenged readers to solve for "a" and "b"from the equation a*2^(b*(year-1970)) from the graph in Figure 1.

Figure 1. Moore's Law: Note that in 1982, ICs had about 100,000 transistors, whereas in 2016, they hadabout 10^10.

Moore’s Law posits that the number of transistors doubles every two years.If so, "b" should be 0.5. It ends up that "b", from the solution in Figure 2, is 0.4885, so a double occurs about 1/0.4885 =2.047 years, but this number is really close to two years. The solution follows:

Figure 2. The Solution of aand b in the Moore's law equation.

BTW, congrats to Indium Corporation's Dr. Huaguang Wang as he got a close solution.

Cheers,

Dr. Ron