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According to the Principle of duality, the Boolean equation (Aꞌ + B) • (1 + B) = Aꞌ + B will be equivalent to ______.
Concept: undefined >> undefined
Distributive law states that ______.
Concept: undefined >> undefined
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The compliment of the Boolean expression Aꞌ • (B • Cꞌ + Bꞌ • C).
Concept: undefined >> undefined
Write the canonical SOP expression for F (A, B) = A <=> B.
Concept: undefined >> undefined
To be recruited as the Principal in a renowned College, a candidate must satisfy any one of the following criteria:
- The candidate must be a Postgraduate and should either possess a B.Ed. degree or a teaching experience of more than 15 years?
OR - The candidate must be an employee of the same college with a teaching experience of more than 15 years.
OR - The candidate must be a Postgraduate but not an employee of the same college and should have a teaching experience of more than 15 years.
The inputs are:
| INPUTS | |
| P | Candidate is a Postgraduate |
| S | Candidate is an employee of the same College |
| E | Candidate has a teaching experience of more than 15 years |
| B | Candidate possesses a B.Ed. degree |
(In all the above cases, 1 indicates yes and 0 indicates no)
Output: X - Denotes eligibility of a candidate [1 indicates eligibility and 0 indicates ineligibility in all cases]
Draw the truth table for the inputs and outputs given above and write the SOP expression for X (P, S, E, B).
Concept: undefined >> undefined
Write the cardinal form of the maxterm X + Y' + Z.
Concept: undefined >> undefined
The complement of the reduced expression of F(A,B) = ∑ (0,1,2,3) is ______.
Concept: undefined >> undefined
A shopping mall announces a special discount on all its products as a festival offer only to those who satisfy any one of the following conditions.
- If he/she is an employee of the mall and has a service of more than 10 years.
OR - A regular customer of the mall whose age is less than 65 years and should not be an employee of the mall.
OR - If he/she is a senior citizen but not a regular customer of the mall.
The inputs are:
| INPUTS | |
| E | Employee of the mall |
| R | Regular customer of the mall |
| S | Service of the employee is more than 10 years |
| C | Senior citizen of 65 years or above |
(In all the above cases, 1 indicates yes and 0 indicates no.)
Output: X - Denotes eligible for discount [1 indicates YES and 0 indicates NO in all cases]
Draw the truth table for the inputs and outputs given above and write the SOP expression for X ( E, R, S, C ).
Concept: undefined >> undefined
State any one use of interfaces in Java.
Concept: undefined >> undefined
Reduce the above expression X (P, S, E, B) by tiifig 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.
Concept: undefined >> undefined
Reduce the Boolean function F (A,B,C,D) = π (0, 2, 4, 6, 8, 9, 10, 11, 14) by using 4-variable Karnaugh map, showing the various groups (i.e., octal, quads and pairs).
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
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).
Concept: undefined >> undefined
Design a class Check which checks whether a word is a palindrome or not.
(Palindrome words are those which spell the same from either ends).
Example: MADAM, LEVEL etc.
The details of the members of the class are given below:
| Class name | Check |
| Data members/instance variables: | |
| wrd | stores a word |
| len | to store the length of the word |
| Methods/Member functions: | |
| Check( ) | default constructor |
| void acceptword( ) | to accept the word |
| boolean palindrome( ) | checks and returns ‘true’ if the word is a palindrome otherwise returns ‘false’ |
| void display( ) | displays the word along with an appropriate message |
Specify the class Check giving details of the constructor, void acceptword( ), boolean palindrome( ) and void display( ). Define the main( ) function to create an object and call the functions accordingly to enable the task.
Concept: undefined >> undefined
Design a class Toggle which toggles a word by converting all upper case alphabets to lower case and vice versa.
Example: The word “mOTivATe” becomes “MotIVatE”
The details of the members of the class are given below:
| Class name | Toggle |
| Data members/instance variables: | |
| str | stores a word |
| newstr | stores the toggled word |
| len | to store the length of the word |
| Methods/Member functions: | |
| Toggle( ) | default constructor |
| void readword( ) | to accept the word |
| void toggle( ) | converts the upper case alphabets to lower case and all lower case alphabets to upper case and stores it in newstr |
| void display( ) | displays the original word along with the toggled word |
Specify the class Toggle giving details of the constructor, void readword( ), void toggle( ) and void display( ). Define the main( ) function to create an object and call the functions accordingly to enable the task.
Concept: undefined >> undefined
Discuss any four factors affecting price elasticity of demand.
Concept: undefined >> undefined
Draw a diagram to show the elasticity of demand when it is greater than one.
Concept: undefined >> undefined
The price of a good decreases from ₹100 to 80 per unit. If the price elasticity of demand for the good is 2 and the original quantity demanded is 30 units, calculate the new quantity demanded.
Concept: undefined >> undefined
Normal profits for a firm imply that the firm is breaking even. Explain.
Concept: undefined >> undefined
The aggregate utility obtained from the consumption of a specific unit of a commodity is called ______.
Concept: undefined >> undefined
