Class 12th Computer Science paper. Computer Science paper questions (Solutions will be uploaded soon)
Part-1
Question-1
a) What do you understand about Gate?
b) Prove using truth table. X.(Y + Z) = X.Y + X.Z
c) Prove using truth table. X + XY = X
d) What is proposition?
e) Which gates are called Universal gates and why?
Question-2
a) Verify if, P.(P’ + Q’) = (P=>Q) using truth table.
b) What is connective?
c) Give truth table proof for De Morgan’s law.
d) Prove the complementary law with the help of truth table.
e) Prove x + x’y = x + y using Boolean algebraic method.
Question-3
a) Convert the following function into its Canonical sum-of-products form :
F(X,Y,Z) = ∑ (0, 1, 3, 5, 7)
b) Convert the following function into its Canonical products-of-sum form :
F(X,Y,Z) = ∏ (2, 3, 4, 6,7)
c) Convert the following function into its Cardinal sum-of-product form :
F = A’B’C’ + AB’C’ + AB’C + ABC’ + ABC
d) Convert the following function into its Cardinal products-of-sum form :
F = A+B+C’ . A+B’+C . A+B’+C’ + A’+B+C’ . A+B+C
e) Draw K-Map for the following:
F (L,M,O,P) = Π (0, 2, 7, 8, 10, 15)
Part-2 (Section-A)
Question-3
a) Draw the logic circuit for the following using NOR gates only.
i) (X + Y) . (X’ + Y) . (X’ + Y’)
ii) (X + Y + Z) . (X + Y’ + Z’)
b) What is meant by Minterm and Maxterm?
Question-4
a) Draw the logic circuit for the following using NAND gates only.
i) xy + xy’z + xyz
ii) ABC + AB’C’ + A’BC
b) Simplify : (A+C).(A+A.D)+A.C+C
Question—5
What is Full Adder? Draw the truth table, SOP expression and Logic diagram for a Full adder.
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Section-B
Question-6
Write a java program to take two numbers from user and check numbers are Twins Prime or not. Twins Prime Numbers are – like:
3 and 5.
5 and 7.
11 and 13.
Question-7
Write a java program to print a tribonacci series (series whose first three terms are given and every successive term is sum of previous three terms e.g.
0 1 2 3 6 11 20 27
Question-8
Write a menu driven program in java:
a) To input a number and check whether it is a NEON number or not.
b) To print the REPUNIT series: 1, 11, 111, 1111…… upto n term.
Note: A number is said to be a NEON , if sum of all the digits of the square of the number is equal to the number itself. For example: 9 is a NEON number because square of 9 is 81 and sum of digits of 81= 8 +1 = 9.
Section-C
Question-9
a) Use Karnaugh’s map to reduce the function F and draw a logic gate diagram for the
reduced form. [10]
(a)- Boolean function is F(A,B,C,D) = ∑ (0,2,5,7,8,10,11,13,14,15).
(b)- Boolean function is F(A,B,C,D) = Π (0,1,2,3,5,7,8,10).
b) What is the different between composite and primitive data types with example?
Question-10
Use Karnaugh’s map to reduce the function F and draw a logic gate diagram for the reduced form.
(a)- Boolean function is F(A,B,C,D) = ∑ (5,6,7,8,9,10,14).
(b)- Boolean function is F(A,B,C,D) = Π (0,2,6,8,10,14).
b) What is OOP? Explain its features.
Question-11
Find the complement of F = x + y.z; then show that F.F’ = 0 and F + F’ = 1
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