Q1: Use algebraic manipulation to prove that x + yz = (x + y) · (x + z).
Note that this is the distributive rule, as stated in identity 12 in Section 2.5.
Ps: Instead of using algebra to demonstrate the result, use a truth table.
Ps: 2.7 Instead of using algebra to demonstrate the result, use a truth table.
Section 2.5
2.6 Use the Venn diagram to prove that
x + x^2 + x^3 · x^1 + x^2 + x^3 = x^1 + x^2
Determine whether or not the following expressions are valid, i.e., whether the left- and right-hand sides represent the same function. (axx^3 + xxx^3 + xx^2 + xx = xx^3 + xx^3 + xx^3 + xxx^3) (bxx^3 + xx^3 + xx^3 = x + x + xx + x + xx + x + x) (cx + x^3x + x^2 + x(x + x^2) = x + x^2(x^2 + x^3x^1 + x^3)
2.8 Draw a timing diagram for the circuit in Figure 2.24a. Show the waveforms that can be observed on all wires in the circuit.
2.9 Repeat Problem 2.8 for the circuit in Figure 2.24b