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New Message on MumbaiUserGroup

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From: niyati
Message 1 in Discussion

Hi All,
 
I didnot know where to post this querry.
 
I am an Mca student and I m stuck with couple of questions of discrete mathematics.
 
If any body can help me I will be very greatfull.
 
Following are the questions:[out of this whatever is colored I don't know the solution 
of it]
 
Question 3: Translate the following English arguments into Propositional Calculus (PC) 
and Decide in PC, for each argument, whether it is a valid argument or not :




<DIR>
<DIR>


</DIR></DIR>
        If the parliament refuses to enact new laws, then the strike will not be over 
unless it lasts more than one year and the president of the firm resigns.

Conclusion: If either the parliament enacts new laws or the strike is not over then 
the strike lasts more than one year.

<DIR>
<DIR>




</DIR></DIR>
        No second-hand car dealer buys a second�hand car for his family. Some people 
who buy second-hand cars for their families are absolutely dishonest.

Conclusion : Some absolutely dishonest people are not second-hand car dealers.

Question 1: Design the following circuits, clearly explaining the steps involved:



<DIR>
<DIR>


</DIR></DIR>
        A binary majority function is generated in a circuit when the output is 1 if 
the binary input variables have more 1�s than 0�s and otherwise the output is 0. The 
circuit should use only NAND gates.
<DIR>
<DIR>






</DIR></DIR>
        A circuit that accepts a three-bit number and generates an output binary 
number equal to the square of the input number.
<DIR>
<DIR>


</DIR></DIR>

Thanks & Regards,
Niyati
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