In the Tower of Hanoi problem, it would take about ____ years for the computer to generate 2⁶⁴ moves at the rate of 1 billion moves per second. A) 5 B) 50 C) 500 D) 5,000

Question

Quizplus · Accepted Answer

The Tower of Hanoi problem with 64 disks would take $2^{64} - 1$ moves to solve. Calculating the time it would take at a rate of 1 billion moves per second: $\frac{2^{64} - 1}{10^9 \times 60 \times 60 \times 24 \times 365}$ gives approximately 585 years, which rounds to the closest option, 500 years.

In the Tower of Hanoi Problem, It Would Take About