Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1} Let f:S → B be defined as follows: S1 if s has an a in the rightmost place f(s) l0 if s does not have an a in the rightmost place Evaluate the following: a) f(aaaa) b) f(abbb) = c) f(abab) = d) f(bbba) = e)List all of the ordered pairs for which f(s) = 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A Function on a Set of Strings
Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1}
Let f:S → B be defined as follows:
(1 if s has an a in the rightmost place
f(s)
10 if s does not have an a in the rightmost place
Evaluate the following:
a) f(aaaa)
b) f(abbb) :
c) f(abab)
d) f(bbba) =
e)List all of the ordered pairs for which f(s) = 1.
Transcribed Image Text:A Function on a Set of Strings Let S be the set of all strings of a's and b's of length 4. Let B = {0, 1} Let f:S → B be defined as follows: (1 if s has an a in the rightmost place f(s) 10 if s does not have an a in the rightmost place Evaluate the following: a) f(aaaa) b) f(abbb) : c) f(abab) d) f(bbba) = e)List all of the ordered pairs for which f(s) = 1.
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