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Question 2 (10 Marks): If F(A,B,C,D)=|M(3,4,5,6,8,9,10,12,13,14), a) Express F in minimum SOP and minimum POS. b)...
1) Given that F (a, b, c, d) =Σ(0,1, 2, 4, 5, 7), derive the product of maxterms expression of F and the two standard form expressions of F` for minterms and maxterms. 2). Given the following Boolean Function: F(A, B, C) = AB + B'(A' + C') Determine the canonical form for the SOP (sum of minterms) and POS (sum of maxterms). Also, draw the truth tables showing the minterms and maxterms. 3) Given n Boolean variables, how many...
1- Write the unsimplified POS Boolean equation for F from the
Truth Table.
F =
2- Write the unsimplified SOP Boolean equation for F' from the
Truth Table.
F' =
3- Using only DeMorgan’s Theorem (show steps) and the
unsimplified POS Boolean equation,
find.
maxterms minterms 0 1 0 1 0 1 10 101
Simplest SOP AD 00 01 11 10 cD or O d d loSimplest POS 10 Minimize either the simplest SOP or the simplest POS obtained from the K-map to an expression with a minimum number of literals.
Which of the following is minimum SOP expression of F(A,B,C,D)=∑(2,3,4,5,9,12,14,15) with don't-care conditions, d(A,B,C,D)= (6,7,13) ? 1. B+A'B'C+AC'D 2. B+A'C+AB'C'D 3. B+A'C+AC'D 4. A+A'B'C+AC'D QUESTION 2 Which of the following is minimum POS expression of F(A,B,C,D)=Π(0,2,4,6,8,10,11,12,14) with don't-care conditions, d(A,B,C,D)=(1,9) ? 1. D 2. D'(A+B') 3. D' 4. D(A'+B) Which of the following is minimum SOP expression of F(A,B,C,D)=Π(0,1,2,3,5,7)? 1. AB+AD' 2. A'+B'D 3. A+BD' 4. A'B'+A'D Which of the following is minimum POS expression of F(A,B,C)=∑(0,1,2,3,5)? 1. A'(B'+C) 2....
(14)Use a Karnaugh map to find the minimum POS for [1 (A+B+C)(A+B+C)(A+B+C) Show the equivalent SOP expression. [10 pts]
b) Given ? = ∏(1,3,4,6,9,10,11,12,14,15) I. Express F in the form of maxterms II. Find F’ and express in the form of minterms III. Express the function F using minimum number of literals IV. Draw the circuit for the function in step 3 using NAND gates only.
QUESTION NO. 2: a) Given ?(?, ?, ?, ?) = ? ′?? + ??? + ??? + ??′?′ I. Express F in the form of minterms II. Find F’ and express it in the form of maxterms III. Express the function F using minimum number of literals IV. Draw the circuit for the function in step 3 using NOR gates only. b) Given ? = ∏(1,3,4,6,9,10,11,12,14,15) I. Express F in the form of maxterms II. Find F’ and express in...
Question 4 [25pts]: Express the Boolean function F =(A+B').(B'+C) a) [12.5pts] As a product of maxterms. b) [12.5pts] As a sum of minterms.
Find the minimal SOP form for the express F(A,B,C,D) = A'BC + A'B'D + A'BC'D + ABCD' + AB'C using Boolean algebra or k-maps. Show all work!
Neat and clean and nice way with detail that required
thankz
b) Given F=[|(1,3,4,6,9,10,11,12,14,15) Express F in the form of maxterms (1) Find F' and express in the form of minterms (1) Express the function Fusing minimum number of literals (1) IV. Draw the circuit for the function in step 3 using NAND gates only. (2) I. II