Jawaharlal Nehru Technological University Hyderabad B.Tech I COMPUTER PROGRAMMING IN C Previous Question Paper (September/October - 2021 - R16)

Number systems are techniques to represent numbers in a computer architecture. The primary systems are:

1. Decimal Number System: Base 10 system using digits 0-9. It is the standard system for human communication.
2. Binary Number System: Base 2 system using digits 0 and 1. It is the fundamental language of digital computers, where bits represent the presence or absence of electrical signals.
3. Octal Number System: Base 8 system using digits 0-7. It is often used as a shorthand for binary, as each octal digit represents exactly three binary bits.
4. Hexadecimal Number System: Base 16 system using digits 0-9 and letters A-F (representing 10-15). It is widely used in low-level programming and memory addressing because it represents four binary bits per digit, making it more compact than binary.

The flowchart for finding the first N prime numbers follows these logical steps:

1. Start.
2. Read the input N (number of primes required).
3. Initialize count = 0 (number of primes found) and num = 2 (the first candidate number).
4. Check if count is less than N. If no, go to Stop.
5. If yes, check if num is prime:
   • Initialize divisor = 2 and flag = true.
   • While divisor is less than or equal to the square root of num:
     • If num modulo divisor is 0, set flag = false and break.
     • Increment divisor.
6. If flag is true, print num and increment count.
7. Increment num by 1 and return to step 4.
8. Stop.