Question

Given the min terms or max terms and the don't care terms of a function, the miniμm two-level circuit can be represented by:

a) AND-OR
b) OR-AND
c) XOR
d) NAND

Answer 1

The minimum two-level circuit from given minterms or maxterms is typically an AND-OR or OR-AND configuration, respectively. XOR is not standard for minimum circuits, and using NAND requires more context.

Step-by-step explanation:

The question relates to the synthesis of digital logic circuits using minterms or maxterms and don't care conditions. When designing the minimum two-level circuit from given minterms (or maxterms), one typically uses an AND-OR configuration (if using minterms) or an OR-AND configuration (if using maxterms). This is due to the nature of how minterms and maxterms represent the logical function in a Sum of Products (SOP) or Product of Sums (POS) form, respectively. Don't care conditions can be used to further simplify the boolean expression.

An XOR gate is not typically used in a minimum two-level circuit because XOR gates are used to handle specific types of logic expressions where the output is true only if the inputs are different. Lastly, while NAND gates can implement any boolean function similarly to AND and OR gates, mentioning NAND specifically as a representation for a minimum circuit without additional context is inappropriate because the choice between NAND, NOR, AND, or OR is based on different considerations such as the actual function's expression, cost, or other design constraints.