(A) Show That the Relation $R = \{ ( x , y ) \mid x$

question 7

Essay

(a) Show that the relation $R = \{ ( x , y ) \mid x$ and $y$ are bit strings containing the same number of 0s } is an equivalence relation.
(b) What are the equivalence classes of the bit strings 1, 00, and 101 under the relation $R$ ?

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Definitions:

Bromides

Ionic compounds that contain a bromine ion (Br-) combined with another element or radical.

Reactivity

A measure of how readily a substance undergoes a chemical reaction with other substances.

Primary Iodides

Organic compounds where an iodine atom is bound to a primary carbon, typically involved in nucleophilic substitution reactions.

Nucleophilicity

A measure of the ability of a chemical species to donate an electron pair to an electrophile, thus forming a chemical bond.