Explain De Morgan's Law, ROM & RAM, and Counters.

Here are the explanations for the given terms:

a) De Morgan's Law
De Morgan's Laws are a pair of transformation rules in Boolean algebra that relate the intersection and union of sets through complements. They state that the complement of the union of two sets is the intersection of their complements, and the complement of the intersection of two sets is the union of their complements.
Expressed mathematically:

$$\overline{A + B} = \overline{A} \cdot \overline{B}$$ $$\overline{A \cdot B} = \overline{A} + \overline{B}$$

b) ROM & RAM
ROM (Read-Only Memory) is a type of non-volatile computer memory that stores permanent data and instructions, such as firmware, which cannot be easily modified or erased. RAM (Random Access Memory) is a type of volatile computer memory that stores data and program instructions currently being used by the CPU, allowing for both reading and writing, but loses its contents when power is turned off.

c) Counters
A counter is a sequential digital circuit that is used for counting the number of times a particular event or process has occurred. It typically consists of a series of flip-flops connected in a specific arrangement to store and increment a binary count in response to input clock pulses.