The LOGIC menu on the TI-84 Plus CE contains the operators “and,” “or,” “xor,” and “not.” The truth table for p ∧ q, for example, can be displayed by entering all combinations of truth values for p and q in lists L₁ and L₂ (using 1 to represent T and 0 to represent F), and then, for L₃, entering “L₁ and L₂” (see Figure 1).

(A) Use a calculator to display the truth table for the “exclusive or” operator “xor.”

(B) Show that the truth table for “xor” is identical to the truth table for the proposition (p ∨ q) ∧¬(p ∧ q).

Transcribed Image Text:

Figure 1 NORMAL FLOAT AUTO REAL RADIAN MP L₁ 1 1 0 L2 1 CTOT 0 1 0 Lo Lo=L1 and L2 L4 Ls NORMAL FLOAT AUTO REAL RADIAN MP La L₁ 1 1 0 0 L><1>=1 CLOTD 1 0 1 0 Lo 1 0 0 L4 Ls S