(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:

Indifference

A state of neutrality or lack of interest, concern, or emotional investment in a particular issue, outcome, or object.

Language Acquisition

The process by which humans acquire the capacity to perceive, produce, and understand language.

Literacy

The ability to read and write at a level that allows an individual to function and communicate effectively in society.

Simple Action Words

Words that describe or indicate an action that is straightforward and uncomplicated, often used in early language development.