Boolean Algebra and Logic Simplification Questions

• Determine the binary values of the variables for which the following standard POS expression is equal to 0.
• Which of the following combinations cannot be combined into K-map groups?
• From the truth table below, determine the standard SOP expression.
• Which output expression might indicate a product-of-sums circuit construction?
• The expression W(X + YZ) can be converted to SOP form by applying which law?
• One of De Morgan's theorems states that . Simply stated, this means that logically there is no difference between:
• The process of reduction or simplification of combinational logic circuits increases the cost of the circuit.
• By applying De Morgan's theorem to a NOR gate, two identical truth tables can be produced.
• The OR function is Boolean multiplication and the AND function is Boolean addition.
• CPLD software can be used to design original circuits that prove the Boolean rules and laws.
• In the commutative law, in ORing and ANDing of two variables, the order in which the variables are ORed or ANDed makes no difference.
• The systematic reduction of logic circuits is performed using Boolean algebra.
• In Boolean algebra, A + 1 = 1.
• The product-of-sums (POS) is basically the ORing of ANDed terms.
• Five-variable Karnaugh maps are impossible.
• The VHDL editor provided with a schematic editor development system will produce a file with the extension .vhd, which can be used by the simulator to test the output of the logic design.
• SOP stands for sum-of-powers.
• A Karnaugh map is similar to a truth table because it presents all the possible values of input variables and the resulting output of each value.
• A variable is a symbol used to represent a logical quantity that can have a value of 1 or 0.
• In Boolean algebra, = A.