Explanation:

A 'binary choice' inherently refers to a situation where there are exactly two possible outcomes or states. The term 'binary' itself means 'consisting of two parts' or 'relating to a system of numbers having $2$ as its base'. In computing, this is represented by $0$ or $1$. Therefore, a binary choice offers precisely two options. Option (a) 'One' is incorrect as it would not be a choice if there's only one option. Option (b) 'Two' accurately defines the number of options in a binary choice. Option (c) 'Three' is incorrect as it would be a ternary choice, not binary. Option (d) 'It depends on the amount of memory in the computer' is irrelevant; the definition of a binary choice is independent of memory size. Option (e) 'None of these' is incorrect because option (b) is the correct answer.