What is a radix or base of the system? With the help of this system, briefly explain the various number systems. Explain how a decimal number is converted into binary, octal, and hexadecimal numbers and vice versa. Give an example of each conversion. What are the different types of logic gates? Explain with the help of truth tables and give an example of each. Discuss the various laws of Boolean algebra and explain the term Boolean Function with a suitable example.