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4. The octal number system is used as a shorthand representation
of long binary numbers. ................................
5. The hexadecimal number system consists of 16 digits. ................................
Section B (Subjective)
A. Short answer type questions:
1. What is an octal number system?
2. What do you understand by the number system?
3. What do you mean by base in a number system? Give an example.
B. Long answer type questions:
1. What are the rules for converting a decimal number into a binary number?
2. How can we convert a binary number into a decimal number? Give an example.
3. Write the rules to subtract two binary numbers.
C. Competency-based/Application-based questions:
1. Kartik noticed the following numbers while working, (256) and (10001) . Which number system
8 2
do they belong to? How can he tell?
2. A number system has made the representation of large values easy. It is made up of 16 symbols
0 to 9, and A to F. Which number system are we talking about?
D. Solve the following:
1. Convert (10111.011) into its decimal equivalent.
2
2. Add the following binary numbers:
a. (1011) and (101) b. (1001) and (101)
2 2 2 2
c. (1111) and (1111) d. (11001) and (10101)
2 2 2 2
3. Convert the following decimal numbers into binary:
a. (39) b. (72) c. (128) d. (55) e. (173)
10 10 10 10 10
#Problem Solving & Logical Reasoning
Crack The Code #Coding and Computational Thinking
A. Convert these into the given number system and write their results.
1. (101) to decimal number system __________
2
2. (250) to binary number system __________
10
3. (101011) to decimal number system __________
2
4. (10111011) to decimal number system __________
2
B. Perform the following operations on binary numbers:
1. Subtract (1101) from (100110) __________
2 2
2. Add (1000) and (101) __________
2 2
27
Number System

