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Question
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 ).
Solution
| E | R | S | C | X |
| Employee of the mall | Regular customer of the mall | Service of the employee is more than 10 years | Senior citizen of 65 years or above | OUTPUT |
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 1 |
| 0 | 0 | 1 | 0 | 0 |
| 0 | 0 | 1 | 1 | 1 |
| 0 | 1 | 0 | 0 | 1 |
| 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 | 0 |
| 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 0 | 1 | 1 | 1 |
| 1 | 1 | 0 | 0 | 0 |
| 1 | 1 | 0 | 1 | 0 |
| 1 | 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |
X (E,R,S,C) = ∑ (1,3,4,6,9,10,11,14,15)
= E’R’S’C + E’R’SC + E’RS’C’ + E’RSC’ + ER’S’C+ ER’SC’ + ER’SC + ERSC’ + ERSC
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