IT Planet Class 7 Computer Chapter 2 Solution – Number System
IT Planet Class 7 Solution: IT Planet Class 7 Computer Chapter 2 Number System all Question Answer Solution by Expert Computer Teacher. Here Students can here all Questions Accurate Answers of Chapter Number System Solution.
Q1) Tick ( √ ) the correct answer :-
a) Computer recognizes only two discrete states.
Ans: iii) On and Off
b) The On and Off is represented by
Ans: i) 0 and 1
c) The digit ‘zero’ represents the electronic state.
Ans: ii) Off
d) The group of eight bits form
Ans: ii) Byte
e) The collection of bits on a 4- bit boundary is
Ans: iii) Nibble
f) The base 10 number system is
Ans: iii) Decimal
g) The number system used internally by all modern computers
Ans: ii) Binary
h) The digits used in Octal number system.
Ans: iii) 0 to 7
Q2) Write ‘T’ for True and ‘F’ for False statements :-
a) The decimal number system has just two unique digits 0 and 1 F
b) The smallest unit of data is a bit. T
c) A byte is used to represent a single character in the computer. T
d) A group of 8 bits is called kilobyte. F
e) A nibble is a collection of 5 bits. F
Q3) Fill in the blanks :-
a) Positional number system can be represented by a few symbols called digits.
b) The decimal number system has 10 as its base.
c) The Binary number system represents numeric values using two symbols i.e, 0 and 1.
d) The Octal number system is the base 8 number system.
e) In number system, Hexadecimal is a number system with a base of 16.
Q4) Answer the following questions :-
a) Solution:
Computer does not understand human language. It only understands the
language of numbers/digits 0 and 1 which is known as machine language/binary number system/binary language. Every single digit (0 and 1) in binary number system/binary language is called as Bit. The base of the binary (where bi means two) number system is 2.
b) Solution:
The difference between Decimal system and Binary system are as follows :-
i) Decimal Number System:- It is also called as positional number system. For ex:- 246
will be written as 200+40+6. Ten symbols from (0-9) are called as digits in this system. We also make use of alphabets from (A-Z) .The combination of numbers and alphabets are called as Alphanumeric. Special character symbols like ($?@,) can also be used. All the digits, alphabets and symbols are arranged in a meaning ful way for communication, just different pattern of languages used for different disabled persons like Brail language used for blind persons etc.
ii) Binary number system:- Computer does not understand human language. It only
understands the language of numbers/digits 0 and 1 which is known as machine language/binary number system/binary language. Every single digit (0 and 1) in binary number system/binary language is called as Bit.
c) Solution:
a) BIT :- It is the smallest unit of data. Computer does not understand human
language. It only understands the language of numbers/digits 0 and 1 which is
known as machine language/binary number system/binary language. Every single
digit (0 and 1) in binary number system/binary language is called as Bit. For ex :-
01. In Binary number system, Bit is referred to as Binary digit.
b) BYTE :- When a group of 8 bits comes together they from a byte. Byte provides
the various combinations of 0’s and 1 which represents the 256 characters
individually. Byte contains the characters as lowercase alphabetic letters,
punctuations marks, and Greek alphabet letters etc. for ex :- 01100010
c) NIBBLE :- Nibble is the part of a Byte which means when a group of 4 bits comes
together they form/represent a Nibble. For ex :- 0110
d) Solution:
The numbers system is divided into two categories which are Positional Number
system and Non- positional number system.
e) Solution:
Decimal number system, Binary number system, Octal number system and
Hexadecimal number system are the different types of number systems that are used/
comes under positional number system.
f) Solution:
The base of Decimal number system is 10 (that uses the symbols from 0-9)
g) Solution:
Hence the base of Octal number system is 8 (where there are only symbols or digits which are 0, 1, 2, 3, 4, 5, 6, 7) (8 and 9 digit or symbol does not exist)
h) Solution:
The difference between Positional and Non-Positional number system are as
followed :-
a) Positional Number system :- Few symbols are to be known as digits in this
number system. These symbols shows different values, which depends on the
place that it occupies in the number. When we type or enter anything, then computer intakes it into the numbers, as computer understands only numbers i.e Positional number system. This number system depends on where the numbers are placed in the sequence of numbers.
b) Non- Positional number system :- In the olden days, there were no devices for
doing calculations/counting. People used to count on fingers. If the counting
value is more than ten, then the people used to take the help of pebbles, stones
or sticks for counting. We have the symbols as I for 1, II for 2, III for 3, IIII for 4,
IIIII for 5 etc. In this system symbol represents the value but not on its place in
the number. If you want to find the value of a number, one has to count the number of symbols that are present in the number. We find it difficult to perform mathematical problems/calculations in this type of number system. This numbers system does not depend on the position of the number and symbols are used to represent the number.
Q5) Convert the following :-
a) Decimal to binary
i) 345 – 000101011001 ii) 113 – 01110001 iii) 145 – 10010001
b) Binary to Decimal
i) 111 – 7 ii) 1101 – 13 iii) 1000 – 8
c) Decimal to Octal
i) 45 – 55 ii) 70 – 106 iii) 220 – 334
d) Decimal to Hexadecimal
i) 22 – 16 ii) 330 – 14 A iii) 840 – 348
Q6) Application Based Question :-
Solution:
If Anjali is asked by her teacher to convert the Decimal numbers into the Binary
number then I will suggest her to follow the given points :-
a) The decimal number should be divided by the value of the new base.
b) Record the remainder from Step 1 as the rightmost digit (least significant digit) of the
new base number.
c) The quotient that we got after the previous division we done, that should be divided
by the new base.
d) Record the remainder from step 3 as the next digit (to the left) or the new base
number.
e) Make a repetition of step no 3 and 4 note down the remainders from right to left, till
the quotient becomes to zero.
For ex :- Convert (42)10 to its Binary equivalent