Page 66 - Computer Science Class 11 With Functions
P. 66
g. (101.01) =( ? ) 2
8
h. (420) = ( ? )
10 2
Ans. a. (710) 8
b. (6A) 16
c. (57.625) 10
d. (163.6875) 10
e. (47.CCC) 16
f. (10101111)
2
g. (1000001.000001)
2
h. (110100100) 2
6. The following data is encoded in ASCII code. Use ASCII table to express the data symbolically.
1011010 0110100 1010101
Ans. ASCII Code: 1011010 0110100 1010101
Decimal Equivalent: 90 52 85
Character: Z 4 U
Equivalent characters for the given code are : Z4U
7. Give binary representation for the word 'CoDe' using ASCII encoding scheme.
Ans. Character: C o D e
ASCII Code in decimal: 67 111 68 101
Binary Equivalent: 1000011 1101111 1000100 1100101
Equivalent ASCII code is 1000011110111110001001100101
Case Based Questions
1. Yuvika has always loved solving sums in mathematics. But she has always used the decimal number system, which uses the
symbols - 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Recently, she came to know about binary, octal, and hexadecimal number systems.
She wants to know the different symbols that are used in these number systems. Write down the same for Yuvika.
Ans. Binary - 0 and 1
Octal - 0, 1, 2, 3, 4, 5, 6, and 7
Hexadecimal - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
2. Gurmeet is a student of class XI. He has been assigned the task of explaining to his classmate why the decimal number
system is a positional number system. Help him to complete his task.
Ans. A number system is positional if the position of a symbol in the representation of the number defines its value. In the case
of a decimal number system, every symbol is assigned a value according to the position at which it is placed. For example,
in the numbers 62, 23, and 249, the symbol 2 denotes the values two, twenty, and two hundred, respectively. Thus, the
decimal number system is a positional number system.
3. Richa is learning about the decimal number system. She knows that every symbol in a number is represented by a value,
known as face value. But, she is not clear about the place value of a symbol within a number. Explain to her with an
example.
Ans. In a decimal number system, the value of a digit within a number depends on the position of the digit. For example,
0
the right-most digit is called the one’s digit or unit digit (value 10 = one).
1
the second digit from the right end is called the tens digit (value 10 =ten).
2
the third digit from the right end is called the hundreds digit (value 10 = hundred), and so on.
Now, consider the number 2376. In this number, the place values of different digits are as follows:
Digit 6 represents 6 units (6 × 1)
64 Touchpad Computer Science-XI

