Find the lexicographic ordering of the bit strings given below based on the ordering 0 < 1.

(A) 001

(B) 010

(C) 011

(D) 0001

(E) 0101

Choose the correct answer from the options given below:

Question

Question

This question was previously asked in

UGC NET Computer Science (Paper 2) 2020 Official Paper

Answer 1

The correct answer is option 2

Explanation:

Lexicographic order is nothing but dictionary order.

To determine the order of strings, we need to compare each bit of all the strings one by one.

For example, take 001 and 010. Here, the second bits of the strings are 0, 1 respectively.

Since 0 < 1 as per the given question, 001<010.

Similarly, 0001 < 001 < 010 < 0101 < 011

Alternate Method

Replace 0 with A and 1 with B and follow dictionary order

AAAB<AAB<ABA<ABAB<ABB