h2 style="text-align: left;"> Topic: Ls.1: Number Systems

 Answer the following questions?


1. Explain the number system and its commonly used types

. Answer: Number systems are the technique to represent the numbers in the computer system architecture. Computer system architecture supports following number systems: Decimal Number system, Binary Number System, Octal Number System  and Hexadecimal Number System .

2. What are the rules to convert a Decimal number into a Binary number? 


Answer: The rules to convert a Decimal Number into a Binary number are: Divide the given decimal number by base 2 Write down the remainder and divide the quotient again by 2 Repeat the step 2 till the quotient is 0.

3. Write the rules to multiply two Binary numbers?

 Answer: The rules for performing multiplication using binary numbers are the same as that of decimal numbers.


4. Briefly explain the Octal Number System. 

Answer: The Octal Number System consists of 8 digits i.e. 0 to 7 with the base 8. The procedure of Octal to decimal conversion is similar to “binary to decimal” conversion. The only difference is the change base. 



5. Define Hexadecimal Number System?

 Answer: This number system consists of 16 symbols and, therefore, has the base 16. It uses the digits (0-9) and (A-F). 



Extra Questions

Q1. Perform Binary addition with steps:

 a. 101 + 11 = 
b. 111 + 111 = 
c. 1010 + 1010 = 
d. 11101 + 1010 =
 e. 11111 + 11111 = 


Q2. Perform Binary subtraction with steps:


 a. 110 - 10 =
 b. 101 - 11 = 
c. 1001 - 11 = 
d. 1101 - 11 = 
e. 10001 - 100 =

Q3. Application Based Questions: 


a. Ratnika’s computer teacher asked her to convert the Binary number to decimal number. Suggest her the method which she should apply in converting the Binary number. ________________________________________________________________




b. The teacher has given an assignment to Saurabh on Binary subtraction. Saurabh is confused how to subtract 1 from 0. Help him in solving this problem.