Problem No-3 Implement the following two-level function using multi-level NOR gates: f(x1,X2.X3,X4,X5,X6,x7)=X1X«X5+X\X4X¢+> kaX4X6+X2X3X7 [9] Assume that...
4. Let B = {x6 + 3, x5 + x3 + 1, x4 + x3, x3 + x2} C Pg, where Pg is the polynomials of degree < 8. (a) (2 marks) Explain why B is a linearly independent subset of Pg. (b) (2 marks) Extend B to a basis of Pg by adding only polynomials from the standard basis of Pg.
X1, X2, X3, X4,X5,X6,X7,X8 are independent identically distributed random variables. Their common distribution is normal with mean 0 and variance 4. Let W = X12+ X22 + X32 + X42+X52+X62+X72+X82 . Calculate Pr(W > 2)
6. Find the minimum-cost SOP and POS forms for the function: f(x1, X2, X3, X4, X5) = > m (1,3,4,7,9,10,12,17,19,20,23,25,26,28,30) + D(14,21,24,29) 7. Problem 2.45 A four-variable logic function that is equal to 1 if any three or all four of its variables are equal to 1 is called a majority function. Design a minimum-cost SOP circuit that implements this majority function.
3. Description of each X and data for 27 franchise stores are given below The data (X1, X2, X3, X4, X5, X6) are for each franchise store. X1 annual net sales/$1000 X2 number sq. ft/1000 X3 - inventory I$1000 X4- amount spent on advertising /$1000 X5 size of sales district/1000 families X6 number of competing stores in distric X1 X2 X3 X4 X5 X6 231 3 294 8.2 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3...
Find the DTFT a. x1[n]=(.3)^nµ[n] b. x2[n]=(.3)µ[n-1] c. x3[n]=(.3)^n(µ[n]-µ[n-10]) d. x4[n]=(.3)^n(µ[n-1]-µ[n-10]) e. x5[n]=δ[n] f. x6[n]=δ[n-1] g. x7[n]=δ[n]+3δ[n-1]+7δ[n-3]