information About Number System

Short questions and answer.

Q.1      How many types of  number system are there in computer. 

Ans:-     There are four types of number system:-    

 1. Decimal  Number System     2. Binary  Number System     3. Octal  Number System     4. Hexadecimal  Number System 

Q.2     Convert binary number ( 11110) ₂  into decimal number (?)₁₀   

Ans:-        ( 11110) _{2 =}  ( ? )₁₀  

Q.3    Convert  decimal number ( 9 )₁₀ into binary number ( ? ) ₂

Ans:- 

            

  Q.4   What is base of Binary, Decimal , Octal & Hexadecimal number system ? 

Ans:-     Number System                         Base 

                Binary                                          2

                Decimal                                        10

                Octal                                             8

               Hexadecimal                                16 

Q.5          Solve this binary addition 

    i)    (1 0 0 0)  + (0 1 1 1)

                Ans :-    1 0 0 0                            

                           + 0 1 1 1 

                              1 1 1  1

ii)     (1 1 1 1 1)     +   (0 1 0 1 1)

Ans:-               1    1    1    1        ------- carry over 

                         1   1    1    1    1

                    +   0    1    0    1    1

                      1 0    1    0    1    0

Answer the following 

Q.1    What is a number system ? Name the different types of number systems .

Ans:-     Computer can't understand human language so the commands and instruction to the computers given by programmers with using number system, different number systems are used such as decimal, binary, octal and hexadecimal. 

Q.2     What is decimal number ? What is base of decimal number ?

Ans:-     Decimal number are used digit 0,1,2,3......9 to form any number. Most of the arithmetic operations are performed with the decimal numbers. Decimal number system consists of ten digit , i.e., 0 to 9 with the base of 10.

Q.3    What is octal number ?

Ans:-     The octal number system consists of 8 digits (0 to 7) with the base of 8 . The concept of octal number system came from the Native Americans as they used to count numbers by using the space between their fingers rather than using fingers.   

Q.4     What is the importance of binary number system ?

Ans:-     A computer understands only binary codes . The data that is entered into a computer is converted into its binary equivalent. It further converts the binary result into their decimal equivalents for the output. Base of the binary number system is 2 , because of it consists two digit 0 and 1.