Class-7
Subject: Computer Science
Chapter-1 Number System (Solved Exercise)
A. Name the following:
1.
Rightmost digit of a number __________________
Answer:
Least Significant Digit
2. Leftmost
digit of a number __________________
Answer:
Most Significant Digit
3. Digits
of binary number system __________________ __________________
Answer:
0 and 1
4. Two
examples of hexadecimal number system__________________ _________________
Answer:
5A and 6AB
5. Base
of hexadecimal number system __________________
Answer:
16
B. Write true or
false.
1.
The positional value of each
digit increases from right to left. _____T
2.
The base of binary number system
is 8. _____F
3.
Decimal number system has base as
0. _____F
4.
The instructions given to a
computer are converted into decimal language. _____F
5.
The base of octal number system
is 8. _____T
C. Fill in the blanks:
1.
To convert binary number system
to decimal number system, we multiply each digit with its______.
Answer:
Positional value i.e. 2
2. The
________ system consists of 8 digits.
Answer:
Octal number system
3. Binary
addition is similar to __________addition.
Answer:
Decimal
4. Any
quantity greater than 9 is represented by a contribution of ________ or more
digits.
Answer:
two
5. The
number system consists of a set of _____________.
Answer:
Values
D. Answer the
following questions.
1. Write the steps to
perform the following conversions.
a. Hexadecimal number
system to decimal number system.
Answer:
Step
1: Multiply each digit with its positional
value, which is in terms of power of 16, starting from the extreme right digit.
Step
2: Increase the power one by one, keeping the
base fixed at 16.
Step 3: Add
all the products to get the decimal number.
Example:
(4D2)16 =(?)10
2*160 =2
D*161 =208
(D=13)
4*162 =1024
=2+208+1024
=1234
(4D2)16=(1234)10
b.
Octal number system to decimal number system.
Answer:
Step
1: Multiply each digit with its positional
value, which is in terms of power of 8, starting from the extreme right digit.
Step
2: Increase the power one by one, keeping the
base fixed at 8.
Step
3: Add all the products to get the decimal
number.
Example:
(345)8=(?)10
3*80=5
4*81=32
5*82=192
=5+32+192=229
(345)8=(229)10
c.
Binary number system to decimal number system.
Answer:
Step
1: Multiply each digit with its positional
value, which is in terms of powers of 2, starting from the extreme right digit.
Step
2: Increase the power one by one, keeping the
base fixed at 2.
Step
3: Add all the products to get the decimal
number.
Example:
(1001)2=(?)10
1*20=1
0*21=0
0*22=0
1*23=8
=1+0+0+8=9
(1001)2
=(9)10
d.
Decimal
number system to binary number system.
2.
Add 101 and 101.
Answer:
1 0 1
+ 1 0 1
__________
1010
__________
3. Subtract
11 from 101.
Answer:
1 0 1
-1 1
___________
010
___________
4. Multiply
111 with 011.
Answer:
0
0 1
*1 1 1
____________
0
0 1
0 0 1*
0 0 1*
___________________
1
1 1
__________________
5. Divide
1101 with 111.
Answer:
111)1101(1
111
_________
110
Remainder
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