Chapter 2- Concept of Number System
Exercises
1. Give Full Forms of the following:
i. RGB – Red Green Blue
ii. IoT – Internet of Things
iii. KB – Kilobyte
iv. MB – Megabyte
v. GB – Gigabyte
vi. PB – Petabyte
2. Multiple Choice Questions:
i. What is the result of the binary addition: 1001 + 1011?
Answer: b. (10100)
ii. When adding two binary numbers, what is the carrying value in binary addition?
Answer: c. 10
iii. In binary division, what is the result when dividing any binary digit by 0?
Answer: ❌ Division by 0 is undefined (none of the options are correct)
iv. What is the base of the decimal number system?
Answer: d. 10
v. What is binary equivalent to the octal number 74?
Answer: b. (111100)
vi. In the hexadecimal system, what does the symbol 'B' represent?
Answer: a. 11
3. Give appropriate technical terms for the following:
a. The digits used by binary number system.
Binary digits (0 and 1)
b. The number system uses only two digits 0 and 1 and has the base 2
Binary number system
c. The number system which uses 10 digits from 0 to 9 and has the base 10
Decimal number system
d. The number system which uses 8 digits from 0 to 7 and has the base 8
Octal number system
e. The number system which uses 10 digits from 0 to 9 and alphabets from A to F
Hexadecimal number system
f. Encoding and decoding data securely using conversions between different number systems.
Cryptography
g. Converting analog signals to digital form using binary.
Analog to Digital Conversion (ADC)
h. Converting sensor data from analog to digital for precise control in automation systems.
Automation using ADC
i. Utilizing binary and hexadecimal conversions in blockchain technology and transaction verification.
Data encoding in Blockchain
j. The smallest unit of information in the computer.
Bit
k. The combination of four bits.
Nibble
l. The combination of eight bits.
Byte
m. The number of bits that can be processed and transferred by the processor.
Word length
4. Short Answer Questions.
a. What is a number system? List its type.
A number system is a way of expressing numbers using digits or symbols. Its types are binary, decimal, octal, and hexadecimal.
b. What is a binary number system? Give its digits.
Binary number system uses only two digits: 0 and 1.
c. What is a hexadecimal number system? Write its radix.
Hexadecimal number system uses 16 symbols and its radix is 16.
d. What is a decimal number system? List the digits used in the decimal number system.
Decimal number system uses 10 digits: 0 to 9.
e. What is an octal number system? Write its base.
Octal number system uses 8 digits (0 to 7) and has base 8.
f. What are the different measurement units of data in a computer?
Bit, byte, kilobyte, megabyte, gigabyte, terabyte, petabyte, etc.