Let S be the set of bit strings of length four or more. For example, 100111 € S, 00111100 e S, or 1011 € S. Let R = {(x, y)|x € S,y E S, and x, y agree on their first four bits}. For example, (1010111, 1010010) e R but (10010111, 110010) ¢ R. Show that R is an equivalence relation on S. What are the equivalence classes of the bit string 11110101
Let S be the set of bit strings of length four or more. For example, 100111 € S, 00111100 e S, or 1011 € S. Let R = {(x, y)|x € S,y E S, and x, y agree on their first four bits}. For example, (1010111, 1010010) e R but (10010111, 110010) ¢ R. Show that R is an equivalence relation on S. What are the equivalence classes of the bit string 11110101
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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Transcribed Image Text:Let S be the set of bit strings of length four or more. For example, 100111 € S, 00111100 e S,
or 1011 e S. Let R = {(x, y)|x € S,y e S, and x, y agree on their first four bits}. For
example, (1010111, 1010010) e R but (10010111, 110010) ¢ R. Show that Ris an equivalence
relation on S. What are the equivalence classes of the bit string 11110101
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