6. A bit string is a finite sequence of 0's and 1's. (a) How many bit strings have length 12? (b) How many bit strings of length 12 end with 1010?

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6. A bit string is a finite sequence of 0's and 1's.
(a) How many bit strings have length 12?
(b) How many bit strings of length 12 end with 1010?
(c) How many bit strings of length 12 start and end with the same bit?
Transcribed Image Text:6. A bit string is a finite sequence of 0's and 1's. (a) How many bit strings have length 12? (b) How many bit strings of length 12 end with 1010? (c) How many bit strings of length 12 start and end with the same bit?
7. A hexadecimal string is a finite sequence of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C,
D, E, F. (In particular, a hexadecimal string can have leading 0's.)
(a) How many hexadecimal strings have length 3?
(b) How many hexadecimal strings of length 3 end in A?
Reality check: Comnare vour answers for the bit strings and hexadecimal strings taking
e here to search
DELL
Transcribed Image Text:7. A hexadecimal string is a finite sequence of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. (In particular, a hexadecimal string can have leading 0's.) (a) How many hexadecimal strings have length 3? (b) How many hexadecimal strings of length 3 end in A? Reality check: Comnare vour answers for the bit strings and hexadecimal strings taking e here to search DELL
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