Question

For each of the following functions: f(x,y,z)=Σm(1,3,6) , g(x,y,z)=Σm(0,2,4,6)

a. Show the truth table.
b. Show a minimum SOP expression (a: 2 terms, 5 literals; b:1 term, 1 literal).

Answer 1

To create the truth tables, write out all possible combinations of inputs for each function. To find the minimum SOP expression, identify the minterms that produce an output of 1 and combine them into a Boolean expression.

Step-by-step explanation:

1. Truth table for function f(x, y, z):
2. Truth table for function g(x, y, z):
3. Minimum SOP expression for function f(x, y, z): (x′y′z′ + xy′z + xyz)
4. Minimum SOP expression for function g(x, y, z): (x′y′z′ + xy′z + xyz + xyz′)