Final answer:
A regular expression for binary strings starting with 010 or ending with 110 is '010(0|1)* | (0|1)*110'.
Step-by-step explanation:
The regular expression that describes a language of binary strings beginning with 010 or ending with 110 would be: 010(0|1)* | (0|1)*110. To construct a Non-deterministic Finite Automaton (NFA) for this language, visualize an automaton that has an initial state that branches off into two paths.
One for each case (strings starting with 010 and strings ending with 110). The sequence 010 is checked sequentially with transitions for 0, then 1, then 0. Upon reaching the end of the 010 sequence, the automaton moves to an accepting state where any sequence of 0s and 1s follow.
Designing this NFA involves creating states and transitions that accommodate both the beginning with 010 and ending with 110, along with the understanding that multiple paths might be followed simultaneously in a non-deterministic manner.