Class XI Chapter 2 Number system [ASSIGNMENT]

MCQ

1. We have ……. universal gatges
a. 1      b. 0     c. 2     d. 3

2. Let, an XOR gate usese three inputs if all the inputs are 1, its output will be
a. 0    b. 1     c. 10    d. 11

 

3. In a gate for 3 inputs total inputcombinations will be:
a. 2     b. 4     c. 8      d. 16

 

4. Boolean algebra uses ….. values
a. 1    b. 2    c. 3    d. 4

 

SHORT Q/A

1. Define the base or radix of a number system.Convert (11011.011)2 into decima number
2. What is binary number system? Convert (520)10 into base 16
3. What is octal number system? Convert(1111111)2 into octal number
4. What is number system? Convert (567)8 octal number into a hexadecimal number
5. Subtract (1100)2 from (1111)2 using 1’s and 2’s complement method
6. Subtract (10001)2 from (11101)2 using 1’s and 2’s complement method
7. Subtract (1000)2 from (1111)2 using 1’s and 2’s complement method
8. Wht do you mean by 1’s complement of a binary number? Uinging 2’s complent subtract the following:111101-101110
9. What is 2’s complement of a binary Number. Using 2’s compelemnt method subtract the follwong:
11011010-110110

10. Convert the following according to instruction
a. (240)10 into octal number
b. (ABC)16 into Binary number
c. (110110.011)2 = (?)10
d. (FACE)16 into octal number
e. 57 denary into octal
f. (11111.11)B =(?)O

11. State and prove the De Morgan’s Theorem by using the truth table.
12. Define Boolean algebra, truth table and Boolean Function. Drraw symbol for AND and NOT gete
13. Prove:
A. X+X’Y=XY
B. A+(B.C)=(A+B)_.(A+C)

14. What is universal gate? How can you desin basic gates using NAND gate?
15. What is duality? Find duality of the following expression:
a) X(Y+Z)=XY+XZ
b) P(QRS)’ + PQ(RS)’+PQUS

16. Simplify the following expressing using Boolean algebra
a. AC’+BC’+A’C’+B’C’
b. A+B(A+B)+A(A’+B)

17. Draw Logic circuit for the following:
a) A(BCD)’+AB(CD)’+ABCD
b) P+Q(P+Q)+P(P’+Q)

 

Long Question Answer
1. What is the number system? Explain different number systems.
2. What is logic gate? Explain AND, NOT, XOR, NAND gate with graphical symbol, truth table and Venn diagram.
3. What is associative, commutative, identity and complement laws of Boolean Algebra. Prove these laws using the truth table.