3.1 Perform the following operations. Include your answers in hexadecimal. A616 OR 3116; F7A16 AND D8016; 3616 ⊕ 2A16
3.2 Given A = 10012, B = 11012, find: A OR B; B A;; A ⊕ A.
3.3 Perform the following operation: A716 ⊕ FF16. What is the relationship of the result to A716?
3.4 Draw a logic diagram to implement F = ABCDE using only 3-input AND gates.
3.5 Draw a logic diagram using two-input AND and OR gates to implement the following function F = P(P + Q)(P + Q + R)(P + Q + R + S) without any simplification; then analyze the logic circuit to verify that F = P.
3.6 Prove the following identities algebraically and by means of truth tables:
3.7 Simplify each of the following Boolean expressions as much as possible using identities:
(a
(b
(c
(d
(e
(f)
(g
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; A ⊕ A.
