Determine whether each of these sets is countable or uncountable. For those that are countable, exhibit a one-to- one correspondence between the set of natural numbers and that set.
a. all bit strings not containing the bit 0
b. all positive rational numbers that cannot be written with denominators less than 4
c. the real numbers not containing 0 in their decimal representation
d. the real numbers containing only a finite number of 1 s in their decimal representation
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