Final answer:
The student asked for truth tables for several Boolean expressions. To create these, one must consider all possible combinations of truth values for the involved variables and calculate the truth value of the expression for each combination. Tables are constructed with rows for combinations and columns for variables and the calculated values of the expressions.
Step-by-step explanation:
The student has asked for the truth tables of various Boolean expressions. A truth table displays every possible truth value for an expression by considering all possible combinations of truth values for the variables involved and determining the expression's truth value for each combination.
Let's go through each expression one by one to create the truth tables:
- For the expression E = AB + ABC + CD, note that AB and ABC represent the same truth values because C doesn't affect the outcome when AB is true. There are four variables (A, B, C, D), which means 16 (2^4) different possibilities.
- For the expression D = ABC + AC, there are three variables (A, B, C), leading to 8 (2^3) different possibilities.
- For the expression Z = WX + (X + Y), since X + Y is the same as X OR Y, the expression simplifies to Z = WX + X + Y. There are three variables (W, X, Y), creating 8 (2^3) different possibilities.
- For the expression D = AB + C, it consists of three variables (A, B, C) and has 8 (2^3) different combinations.
- Lastly, for the expression D = (A + BC), there are also three variables (A, B, C) resulting in 8 (2^3) different possibilities.
To construct each truth table, you would create a table with enough rows to represent all combinations, list the truth values for each variable in the first columns, and then calculate the value of the expression for each row based on the logical operations in the expression.