Question

The implementation of simplified sum-of-products expressions may be easily implemented into actual logic circuits using all ________ with little or no increase in circuit complexity.

A) NAND gates
B) NOR gates
C) XOR gates
D) AND gates

Answer 1

Simplified sum-of-products expressions can be implemented using all NAND gates (option A) or NOR gates (option B), which are known as universal gates in logic circuits.

Step-by-step explanation:

The implementation of simplified sum-of-products expressions may be easily implemented into actual logic circuits using all NAND gates or all NOR gates, with little or no increase in circuit complexity. NAND and NOR gates are known as universal gates because they can be used to implement any logic function, including AND, OR, and NOT operations. This means that any digital circuit can be built using just one type of gate, making the design process simpler and often more cost-effective.

NAND gates are particularly versatile in this regard. A single NAND gate can be used as an inverter by connecting both inputs together, as an AND gate by following it with an inverter, and complex combinations of NAND gates can implement OR functions and any other boolean function. This is possible due to the functional completeness of the NAND operation in boolean algebra.