Question

write the following boolean expressions in an equivalent sum of product canonical form in three variables x1, x2, and x3:
1. x1*x2 ?
3. (x1+X2)'*X3

Answer 1

Answer on question #85102, Math / Discrete Mathematics

write the following boolean expressions in an equivalent sum of product canonical form in three variables x1, x2, and x3:

1. $x_1 * x_2$

2. $(x_1 \oplus x_2)' * x_3$

**Solution:**

1. $x_1 * x_2 = x_1 * x_2 * (x_3 \vee x_3') = x_1 x_2 x_3 \vee x_1 x_2 x_3'$

2. $(x_1 \oplus x_2)' * x_3 = (x_1 x_2' \vee x_1' x_2)' * x_3 = (x_1' \vee x_2)(x_1 \vee x_2') * x_3 = (x_1' x_2' \vee x_1 x_2) * x_3 = x_1' x_2' x_3 \vee x_1 x_2 x_3$

**Answer:**

1. $x_1 x_2 x_3 \vee x_1 x_2 x_3'$

2. $x_1' x_2' x_3 \vee x_1 x_2 x_3$

Answer provided by https://www.AssignmentExpert.com