CBSE SOLUTIONS-2025-26
CLASS-8
CHAPTER-1 NUMBER SYSTEM
A. Tick the correct answer:
1. Which number system has 10 as its base?
a. Binary number system b. Decimal number system c. Octal number system d. Hexadecimal number system
Answer: Decimal number system
2. Which number system consists of 0 and 1?
a. Binary number system b. Decimal number system c. Octal number system d. Hexadecimal number system
Answer: Binary number system
3. To convert a decimal number into a binary number, we divide the number by:
a. 2 b. 8 c. 10 d. 0
Answer: 2
4. In binary multiplication, 1*1 equals to______________________.
a. 0 b. 1 c. 2 d. None of these
Answer: 1
5. Which number system has 16 as its base?
a. Hexadecimal number system b. Decimal number system c. Octal number system d. Binary number system
Answer: Hexadecimal number system
B. Write T for true and F for false:
1. The numbers used in hexadecimal number system is 0 to 15.
Answer: T
2. The digits 0 and 1 are known as binary digits or bits.
Answer: T
3. In binary multiplication, 1*0 equals 1.
Answer: F
4. To convert a decimal number into an octal number, divide the number by 10.
Answer: F
5. The octal number system consists of 8 digits, i.e. 0 to 7.
Answer: T
C. Fill in the blanks:
1. The base of ___________________ number system is 8.
Answer: Octal
2. In binary addition 1+1 equals to _____________________.
Answer: 10
3. The base of the binary number system is _____________.
Answer: 2
4. In binary subtraction, 1-0 equals to _______________.
Answer: 1
5. _____________________ number system is used by all digital computers.
Answer: Binary
D. Answer the following questions:
1. Explain number system. Name different types of number system.
Answer: The set of values are used by the computer to represent different quantities is known as Number System. Number system include numbers (0-9), alphabets (A-Z, a-z) and some special characters.
There are four types of number systems in a computer:
1. Binary number system
2. Decimal number system
3. Octal number system
4. Hexadecimal number system
2. Briefly explain the hexadecimal number system.
Answer: The hexadecimal number system consists of 16 digits, i.e. (0-9) and (A-F). Since, this system uses sixteen digits, it has the base 16, where A stands for 10, B for 11, C for 12, D for 13, E for 14 and F for 15.
Examples of hexadecimal number system are- (ACD)16, (A14)16 etc.
3. Briefly explain the binary number system.
Answer: The binary number system consists of 0 and 1. The digits 0 and 1 are known as binary digits or bits. Since this system uses two digits, it has base 2. This number system is used by all digital computers to convert the data input by you into its binary equivalent.
4. Write the rules to add and subtract two binary numbers.
Answer:
Rules to add binary numbers:
a b a+b
0 0 0
0 1 1
1 0 1
1 1 10
Rules to subtract binary numbers:
a b a-b
0 0 0
1 0 1
1 1 0
0 1 1
5. What are the rules to convert a decimal number into an octal number?
Answer: Rules to convert a decimal number into an octal number:
Step 1: Divide the decimal number by 8.
Step 2: Write the remainder on the right side and divide the quotient again by 8.
Step 3: Repeat step 2 till the quotient is zero.
6. Write the rules to multiply two binary numbers.
Answer: Rules to multiply two binary numbers:
a b a*b
0 0 0
1 0 0
0 1 0
1 1 1
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