Suppose that we are interested in determining the number of 4-bit strings containing two
Chapter 8, Problem 14(choose chapter or problem)
Suppose that we are interested in determining the number of 4-bit strings containing two consecutive 0s. This could be determined by listing all of these 4-bit strings: 0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111 Thus 8 of the 16 4-bit strings contain two consecutive 0s. (a) Show that this question also be answered by performing the computation below. 3 22 (2 + 1 + 2) + 1 = 8. (b) Determine the number of 5-bit strings containing two consecutive 0s without listing them.
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