While we talked extensively about binary addition, we didnt cover binary multiplication. Consider multiplying (5)₁₀ by (2)₁₀ in each of the following binary representations, using standard elementary school multiplication. Note that the second step is simply binary addition. For each representation, state the calculated answer, whether it is correct, and if not what the problem is. You do not need to show your work.

[3 points] Using 3-bit unsigned numbers

Solution:

[3 points] Using 4-bit twos complement

Solution:

[3 points] Using 8-bit twos complement

Solution:

[2 points] Is there a value of x > 2 such that multiplying two positive x-bit twos complement numbers will always give a correct answer? If so, give such a value of x and justify your answer. If not, explain why not.