I'm really lost on this, please help:

For each the following scenarios:

- build the truth table;

- derive the corresponding boolean expression, and simplify it to the extent possible; and

- construct the digital circuit using logisim, and embed the png image.

1)

Given four inputs: a, b, c & d, where (a, b) represents a 2-bit unsigned binary number X; and (c, d)

represents a 2-bit unsigned binary number Y (i.e. both X and Y are in the range #0 to #3) - i.e. same as q. 1

This time, there are 4 outputs - i.e. in effect, you are building 4 separate truth tables - o3, o2, o1, o0.

These correspond to the unsigned 4-bit product of the two numbers X, Y

E.g., if a = 1, b = 0 (i.e. X = b10 => #2); c = 1, d = 1 (i.e. Y = b11 => #3); then {o3, o2, o1, o0} = {0, 1, 1, 0},

since #2 * #3 = #6. Derive the boolean expressions only for columns o0 and o2