Set builder notation of {0, 00, 10, 000, 010, 100, 110}?

{0, 10, 100, 110} = {x : x = 10 (n + k), n = 0, 10 and k = 0, 1}

Step-by-step explanation:

We have been given the set {0, 00, 10, 000, 010, 100, 110} which is in the Roster form.

Since repetition is not allowed in a set, let's rewrite the given set as:

{0, 10, 100, 110}

Note that the elements of the set are binary.

Now, let's write the set builder form of the above set as below:

{0, 10, 100, 110} = {x : x is an even binary number and its decimal equivalent is less than 7}