ECE 320L Chapter 2.3: 016 Exclusive-OR and Algebraic Manipulation of Boolean Functions

Let
H = {f : R → R | f(x) = ax + b; a, b ∈ R; a > 0}.
H1 = {f : R → R | f(x) = ax; a ∈ R; a > 0}.
H2 = {f : R → R | f(x) = x + b; b ∈ R}.
(a) Prove that H1 and H2 are subgroups of H.
(b) Determine whether each is a normal subgroup of H.

23. What does the following program print? void setup() { int x = 10; timesTwo (x); println(x); A. 10,20 B. 20, 10 C. 20,20 void timesTwo (int x) { x = x + 2; println(x);

5. The following truth table defines the B, and output X. digital logic gate with two inputs, A and X A B 100 0 1 | 1 0 1 1 0 a) NAND X b) NOR c) OR d) AND e) None of the above