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QUESTION 1 [20 MARKS] (a) A function F(A,B,C,D) = m(0, 5, 10, 11, 12, 13, 14). If the minimized Sum of Products (SOP) ex
Posted: Fri Jul 01, 2022 6:57 am
by answerhappygod
- Question 1 20 Marks A A Function F A B C D M 0 5 10 11 12 13 14 If The Minimized Sum Of Products Sop Ex 1 (54.59 KiB) Viewed 22 times
QUESTION 1 [20 MARKS] (a) A function F(A,B,C,D) = m(0, 5, 10, 11, 12, 13, 14). If the minimized Sum of Products (SOP) expression of the function is B.C+A.C+A.C.D, find the obvious don't care entries. (b) Implement a 2-input AND function using 2-to-4 line active low output decoder and a NOT gate. (c) (d) (ii) (e) [3 marks] Implement a 4-input Exclusive-NOR gate AB CD using minimum number of 2-input Exclusive-OR gates only. Using Boolean algebra, prove if the following equations are true or not. (i) A.B+A.B=1 [3 marks] A.B+B.AA.B.B.A (iii) ĀC+AB=ĀC+AB+B.C [4 marks] [2 marks] [2 marks] [2 marks] Show how a NOT function can be implement with each of the following gates; 3-input NAND gate and 2-input Exclusive-NOR gate. [4 marks]