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4. Let n be a positive even integer. (a) a for all æ E {0, 1}"? Justify your answer. How many functions f: (0, 1}" {0, 1}" are there that satisfy f(x) # (b) from a by reversing the ordering of the bits of a. (e.g., the first bit of a becomes the last bit of z, etc.) How many strings r E (0, 1}" satisfy rev = x? Justify Given a string r e {0, 1}", let rev denote the string in {0, 1}" obtained your answer. (c) a and f(r) # ev for all r E {0, 1}"? Justify your answer. How many functions f: {0, 1}"{0, 1}" are there that satisfy f(r) #

4. Let n be a positive even integer. (a) a for all æ E {0, 1}"? Justify your answer. How many functions f: (0, 1}" {0, 1}" are there that satisfy f(x) # (b) from a by reversing the ordering of the bits of a. (e.g., the first bit of a becomes the last bit of z, etc.) How many strings r E (0, 1}" satisfy rev = x? Justify Given a string r e {0, 1}", let rev denote the string in {0, 1}" obtained your answer. (c) a and f(r) # ev for all r E {0, 1}"? Justify your answer. How many functions f: {0, 1}"{0, 1}" are there that satisfy f(r) #

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Let n be a positive even integer. How many functions f: {0, 1}" {0,1}" are there that satisfy f(r) (a) a for all a E {0, 1}"? Justify your answer. (b) from a by reversing the ordering of the bits of a. (e.g., the first bit of z becomes the last bit of aev, etc.) How many strings r E {0, 1}" satisfy aev = r? Justify Given a string a E {0, 1}", let zev denote the string in (0, 1}" obtained your answer. (c) x and f(x) # arev for all r E {0, 1}"? Justify your answer. How many functions f: {0, 1}"{0, 1}" are there that satisfy f(r) #
Transcribed Image Text:4. Let n be a positive even integer. How many functions f: {0, 1}" {0,1}" are there that satisfy f(r) (a) a for all a E {0, 1}"? Justify your answer. (b) from a by reversing the ordering of the bits of a. (e.g., the first bit of z becomes the last bit of aev, etc.) How many strings r E {0, 1}" satisfy aev = r? Justify Given a string a E {0, 1}", let zev denote the string in (0, 1}" obtained your answer. (c) x and f(x) # arev for all r E {0, 1}"? Justify your answer. How many functions f: {0, 1}"{0, 1}" are there that satisfy f(r) #
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