Final answer:
a) xyz + (xyz)'.A truth table evaluates all possible scenarios for the given variables in logical expressions. The table allows us to calculate the result of complex logical operations
Step-by-step explanation:
To evaluate the given logical expressions and construct a truth table, we must consider all possible truth values for the variables x, y, and z. For expression (a) xyz + (xyz)', the prime symbol (') denotes logical NOT, which inverts the truth value. The expression xyz represents the logical AND of x, y, z, while the plus sign (+) represents the logical OR.
For expression (b) x(yz' + x'y), yz' would mean y AND NOT z, and x'y indicates NOT x AND y. The overall expression combines these with an OR (+), followed by an AND with x.
The truth table for the above expressions would list all possible combinations of truth values for x, y, and z, and then compute the outcomes for each part of the expressions accordingly, ultimately determining the result for the entire expressions.
A truth table is a table that shows the possible values of a logical expression or a boolean function. It lists all the possible combinations of the input variables and the corresponding output value. Let's construct the truth table for the given expressions: