ISC (Science) ISC Class 12 - CISCE Important Questions

Reduce the above expression X ( E, R, S, C ) by using 4-variable Karnaugh map, showing the various groups (i.e. octal, quads and pairs).

Draw the logic gate diagram for the reduced expression. Assume that the variables and their complements are available as inputs.

Reduce the Boolean function F(P,Q,R,S) = (P+Q+R+S) • (P+Q+R+Sꞌ) • (P+Q+Rꞌ+S) • (P+Qꞌ+R+S) • (P+Qꞌ+R+Sꞌ) • (P+Qꞌ+Rꞌ+S) • (P+Qꞌ+Rꞌ+Sꞌ) •(Pꞌ+Q+R+S) • (Pꞌ+Q+R+Sꞌ) by using 4-variable Karnaugh map, showing the various groups (i.e. octal, quads and pairs).

From the given logic diagram:

1. Derive Boolean expression and draw the truth table for the derived expression
2. If A=1, B=0 and C=1, then find the value of X.

Verify if the following proposition is valid using the truth table:

(X ∧ Y) =>Z = (Y => Z) ∧ (X => Y).

Differentiate between half adder and full adder. Write the Boolean expression and draw the logic circuit diagram for the SUM and CARRY of a full adder.

How is Encoder different from a decoder?

Draw the logic circuit for a 4 :1 multiplexer and explain its working.

When a sequence of OR, NOT, NOR are connected in series, the logic gate obtained is ______.

Idempotence Law states that ______.

Draw the logic gate diagram for the reduced expression. Assume that the variables and their complements are available as inputs.

Draw the logic gate diagram for 2-input OR gate using NAND gates only. Show the expression at each Step.

Draw the logic circuit for 3:8 decoder (Octal decoder). Which multiplexer can be derived from the Octal decoder?

A full adder needs five gates and those are 3 AND gates, 1 OR gate and 1 XOR gate. When a full adder is constructed using 2 half adders, it also requires 5 gates. State the names along with the quantity those gates.

Draw the logic circuit to decode the following binary number (0001, 0101, 0111, 1000, 1010, 1100, 1110,1111) to its hexadecimal equivalents. Also, state the Hexadecimal equivalents of the given binary numbers.

Answer the following questions related to the below image:

1. What is the output of the above gate if input A=0, B=1?
2. What are the values of the inputs if output =1?

A linked list is formed from the objects of the class given below:

class Node
{
  doubel sal;
  Node next;
}

Write an Algorithm OR a Method to add a node at the end of the an existing linked list. The method declaration is as follows:

void addNote(Node ptr, double ss)

The keyword that allows multi-level inheritance in Java programming is ______.

Write the canonical form of the cardinal terms, m₃ and M₅ for F (A, B, C, D).

A class Ins Sort contains an array of integers which sorts the elements in a particular order.

Some of the members of the class are given below.

Specify the class InsSort giving details of the constructor(), void getArray( ), void insertionSort( ), double find() and void display(). Define a main( ) function to create an object and call all the functions accordingly to enable the task.

Design a class Coding to perform some string related operations on a word containing alphabets only.

Example: Input: "Java"

Output: Original word: Java

J=74

a=97

v= 118

a=97

Lowest ASCII code: 74

Highest ASCII code: 118

Some of the members of the class are given below:

Specify the class Coding giving details of the constructor( ), void accept( ), void find( ) and void show(). Define a main() function to create an object and call all the functions accordingly to enable the task.