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Write the steps for converting Primal into its Dual


Find a real root of the equation 2x-log x =7 correct to three decimal places.


Write the Dual of LPP

Min z= 3x1+ 2x2

Subject to

x1 - x2≤ 1,

x1+x2 ≥ 3,

x1, x2≥ 0


Describe how reflection can be used to achieve team improvement.


Determine the single error correcting code for the BCD number 1001 using even parity


Design a combinational circuit with three inputs , X,Y,Z, and three out puts A,B,C when the binary input is 0,1,2,or3,the binary out put is two greater than the input, when the binary input is 4,5,6,or7,the binary out put is two less than the input


Convert each of the following expressions into sum of products and product of sums

A.(AB+C)(B+C'D)

B.X'+X(X+Y')(Y+Z')


Draw a logic diagram using only two-input NOR gates to implement the following function

F(A,B,C,D)=(A"\\bigoplus" B)'(C"\\bigoplus" D)



Express the complement of the following in sum of min term form

A. F(A,B,C,D)="\\sum" (3,5,9,11,15)

B. F(X,Y,Z)="\\prod" (2,4,5)


Determine the single error correcting code for the BCD number 1001 using even parity


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