## Chapter 1 Number System

**Brain Developers**

**A. Fill in the blanks:**

1. The base of Binary number system is

1. The base of Binary number system is

__2__

**.**

2. The base of

2. The base of

__Decimal number__

**system 10.**

3. Octal number system consists of

3. Octal number system consists of

__8__

**digits.**

4. In Binary addition, 1 + 1 equals to

4. In Binary addition, 1 + 1 equals to

__10__

**.**

5.

5.

__Binary__

**number system is understood by the computer system.**

6.

6.

__Hexadecimal__

**uses 16 symbols to represent numbers.**

7. In Binary subtraction, 1 - 1 equals

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

1. The decimal number system consists of 10 digit i.e., 0 to 9. (

**)**

2. The method to perform division of two binary number is not same as that of the decimal numbers. (False

2. The method to perform division of two binary number is not same as that of the decimal numbers. (

**)**

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

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. (

**)**

4. Charles Babbage introduced the concept of 0 [Zero]. (False

4. Charles Babbage introduced the concept of 0 [Zero]. (

**)**

Correct Answer: Aryabhatt introduced the concept of 0 [Zero].

5. The number used in Octal number system are 1 to 7. (False

Correct Answer: Aryabhatt introduced the concept of 0 [Zero].

5. The number used in Octal number system are 1 to 7. (

**)**

Correct Answer: The number used in the Octal number system are 0 to 7.

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.

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:

**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).

Answer:

**b) Aryabhat**

D. Multiple Choice Questions:

1. ____________ introduced the concept of 0 [Zero].

a) Ada Lovelace

b) Aryabhatt

c) Bill Gates

Answer:

D. Multiple Choice Questions:

1. ____________ introduced the concept of 0 [Zero].

a) Ada Lovelace

b) Aryabhatt

c) Bill Gates

Answer:

**2. A _________ converts the decimal format into its binary equivalent.**

a) Digital computer

b) Cell phone

c) Abacus

Answer:a) Digital Computer

a) Digital computer

b) Cell phone

c) Abacus

Answer:

**3. A computer understands only _________ code.**

a) English

b) French

c) Binary

Answer:c) Binary

a) English

b) French

c) Binary

Answer:

**4. In Binary multiplication, 1 x 1 equals to _______.**

a) 0

b) 1

c) 2

Answer:b) 1

a) 0

b) 1

c) 2

Answer:

**5. To convert Decimal number into Binary number, divide the number by ________.**

a) 2

b) 8

c) 10

Answer:a) 2

a) 2

b) 8

c) 10

Answer:

**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 -

1. Explain Number system and its commonly used types.

Answer:

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:

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.

Answer:

**4. Briefly explain the Octal number system.**

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

Answer:

**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).

Answer:

thanks for this amazing solution but please mention Que-5 what do you under stand by hexadecimal number system? in this solution please and thanks

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What do you understand by the Hexadecimal number system?

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What do you understand by the Hexadecimal number system?

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This number system contains 16 digits, and therefore, has the base 16. It uses the digits (0 - 9) and (A - F).

Please can u add 5th one solution.

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