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 number system uses 16 digits, from 0 to 9 and letters A to F.
7. In Binary subtraction, 1 - 1 equals to 0.
B. State True or False:
1. You cannot perform arithmetical operations on binary numbers. (False)
Correct Answer: You can perform arithmetical operations on binary numbers.
2. The decimal number system consists of 10 digits, i.e., 0 to 9. (True)
3. The method to perform division of two binary numbers is not the same as that of decimal numbers. (False)
Correct Answer: The method to perform division of two binary numbers is the same as that of decimal numbers.
4. 1 multiplied by 0 equals to 0. (True)
5. Charles Babbage introduced the concept of 0 (Zero). (False)
Correct Answer: Aryabhat introduced the concept of 0 (Zero).
6. The numbers used in Octal number system are 1 to 7. (False)
Correct Answer: The numbers used in Octal number system are 0 to 7.
C. Application Based Questions:
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) Aryabhat
c) Charles Babbage
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 the ___________ code.
a) English
b) French
c) Binary
Answer: c) Binary
4. In Binary multiplication, 1 × 1 equals to ____________.
a) 0
b) 1
c) 2
Answer: b) 1
5. To convert a Decimal number into a Binary number, divide the number by _____________.
a) 2
b) 8
c) 10
Answer: a) 2
E. Answer the following:
1. What is a number system? Explain its commonly used types.
Answer: 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 a 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 two Binary numbers.
Answer: The rule for performing multiplication using binary numbers is the same that of the numbers. 0 × 0 = 0, 0 × 1 = 0, 1 × 0 = 0 & 1 × 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 the 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).
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