1.1. Consider a black box containing eight multiple-position switches. Switches 1 and 2 may be set in any of 16 positions. Switches 3, 4, and 5 are four-position switches, and switches 6-8 have only two positions. Calculate the number of unique switch settings possible for this black box device 1.2. For the black box device of Problem 1.1, design a natural string coding that uses eight positions, one position for each switch. Count the number of switch