Kips Class 7 IT Beans Chapter 1 Number System

Chapter 1 Number System

Brain Developers
A. Fill in the blanks:
1. The base of Binary number system is 2.
2. The base of Decimal number system is 10.
3. Octal number system consists of 8 digits.
4. In Binary addition, 1 + 1 equals to 10.
5. Binary number system is understood by the computer system.
6. Hexadecimal uses 16 symbols to represent numbers.
7. In Binary subtraction, 1 - 1 equals 0.

B. State True or False:
1. The decimal number system consists of 10 digit i.e., 0 to 9. (True)
2. The method to perform division of two binary number is not same as that of the decimal numbers. (False)
Correct Answer: The method to perform division of two binary number is same as that of the decimal numbers.
3. 1 multiplied by 0 equals to 0. (True)
4. Charles Babbage introduced the concept of 0 [Zero]. (False)
Correct Answer: Aryabhatt introduced the concept of 0 [Zero].
5. The number used in Octal number system are 1 to 7. (False)
Correct Answer: The number used in the Octal number system are 0 to 7.
 
C. Application Based Question:
1. Ratika's computer teacher asked her to convert the Octal number to Decimal number. Suggest her the method which she should apply in converting the Octal number.
Answer: Multiply each octal number with 8 having the power 0 for unitary position,starting from the extreme right digit.

2. The teacher has given as assignment to Saurabh on Binary subtraction. Saurabh is confused how to subtract 1 from 0. Help him solving the problem.
Answer: He can solve this by borrow method as (0 - 1 = 1).
 
D. Multiple Choice Questions:
1. ____________ introduced the concept of 0 [Zero].
a) Ada Lovelace
b) Aryabhatt
c) Bill Gates
Answer: b) Aryabhat

2. A _________ converts the decimal format into its binary equivalent.
a) Digital computer
b) Cell phone
c) Abacus
Answer: a) Digital Computer

3. A computer understands only _________ code.
a) English
b) French
c) Binary
Answer: c) Binary

4. In Binary multiplication, 1 x 1 equals to _______.
a) 0
b) 1
c) 2
Answer: b) 1

5. To convert Decimal number into Binary number, divide the number by ________.
a) 2
b) 8
c) 10
Answer: a) 2

E. Answer the following:
1. Explain Number system and its commonly used types.
Answer: Number system is a way to represent the numbers in the computer architecture. There are four different types of number system -
a) Binary number system
b) Octal number system
c) Decimal number system
d) Hexadecimal number system

2. What are the rules to convert a Decimal number into Binary number?
Answer:
Step 1: Divide the given decimal number with the base 2.
Step 2: Write down the remainder and divide the quotient again.
Step 3: Repeat the step 2 until the quotient is 0.

3. Write the rules to multiply 2 binary numbers.
Answer: The rule for performing multiplication using binary numbers is the same that of the numbers. 0 x 0 = 0, 0 x 1 = 0, 1 x 0 = 0 & 1 x 1 = 1.

4. Briefly explain the Octal number system.
Answer: Octal number system consists of 8 digits i.e . 0 to 7 with the base 8.

5. What do you understand by hexadecimal number system?
Answer: Hexadecimal number system contains 16 digits, and therefore, has the base 16. It uses the digits (0 - 9) and (A - F).