Page 45 - ComputerScience_Class_11

8. Adding hexadecimal digits, A with C will give ………………… .
a. sum=1, carry=6 b. sum=6, carry=1
c. sum=5, carry=1 d. sum=7, carry=1

9. Adding binary numbers 110 and 1100 gives ………………… .
a. 11010 b. 11110
c. 10010 d. 110
10. 16’s complement of a hexadecimal number A9D is ………………… .
a. 562 b. 563
c. 673 d. 674
Answers
1. d 2. b 3. c 4. c 5. a 6. a 7. c 8. b 9. c 10. b

B. Fill in the blanks.

1. The binary equivalent of (0.75) is ………………… .
10
2. The binary equivalent of hexadecimal digit E is ………………… .
3. 2’s complement is obtained by adding ………………… to 1’s complement.
4. The largest two-digit hexadecimal number is ………………… .
5. The result of subtracting the octal number 25 from 56 is ………………… .

6. The binary equivalent of octal 15 is ………………… .
7. Hexadecimal equivalent of octal 23 is ………………… .
8. Adding octal numbers 46 and 22 results in ………………… .
9. Adding hexadecimal numbers, A and B gives ………………… .
10. The octal equivalent of binary 10010 is ………………… .
11. The binary number 11.1 is equal to the decimal number ………………… .
12. Adding binary numbers 1+1+1+1 gives the result as ………………… .

Answers
1. 0.11 2. 1110 3. 1 4. FF 5. 31 6. 1101
7. 13 8. 70 9. 15 10. 22 11. 3.5 12. 100

C. Answer the following questions:
1. What is a number system? Explain.
Ans. The number system is a way of denoting numbers using digits or symbols. It also follows a definite set of rules to denote its actual
value. The value of any number depends on three factors:
a. digits or numerals
b. position of the digits
c. the base of the number system
This logical representation of numbers is the basis of all mathematical and algebraic calculations.
2. Write the steps to convert a decimal number into a binary number.
Ans. The steps to convert a decimal number into a binary number are as follows:
1. Divide the number by 2 and store the remainder of the division separately.
2. Assign quotient as the new dividend.
3. Repeat steps 1 and 2 until new dividend = 0.
4. Arrange the remainders from bottom (LSB) to top (MSB) to get the result.
5. For real numbers, the above process is to be followed for the integer part.

System of Numeration 43