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 |
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2. |
B+A'C+AB'C'D |
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3. |
B+A'C+AC'D |
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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 |
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2. |
D'(A+B') |
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3. |
D' |
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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' |
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2. |
A'+B'D |
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3. |
A+BD' |
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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) |
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2. |
(A'+B')(A'+C) |
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3. |
A(B+C') |
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4. |
(A+C')(A+B) |
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) ?...
Please show the steps 1. Write the minimum SOP expression of F(A,B,C)=∑(2,3,4,6) with “don't-care” conditions, d(A,B,C)=(0,1,5) 2. Write the minimum POS expression of F(A,B,C,D)=Π(2,3,11,12,15) with don't-care conditions, d(A,B,C,D)= (0,7,10,14) 3. What is the critical path delay for the given logic circuit? Assume that a 2-input OR gate has a propagation delay of 21 ns, the 2-input AND gate has a propagation delay of 14 ns, and the NOT gate has a propagation delay of 9 ns. A. 58 ns B. 57 ns...
Which of the following terms end up in the minimized Boolean expression for X? A B C D W X 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0...
Enter the following expression into a K-map: F(a,b,c,d) = Sum-of-minterms(1,3,4,5,7,8,12,15) Which of the following is not an essential prime implicant of the K-map? bcd All of the other answers are essential prime implicants bc'd' O a'd O ac'd'
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) Express F in minterms and maxterms. c) Express F in standard form of POS. d) Show that F =(A+B)O(CD).
whah ofthe following is minimum SOP expression of FCA B CD-Σ(0,2 4,6 s 10,1 1,12, 14) with don't care conditions, dA B CD-c 13)? 2D-BC+ABC D-ABC
Obtain the simplest SOP and POS for the following logical expression using K-MAP. 8. F(A,B,C,D) = ABD + ABCD
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-m(5,6,7,12,14,15) +d (3,9,11,15) (Use K-maps for the simplification)
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-?m(5,6,7, 12, 14, 15) +zd (39, 11, 15) (Use K-maps for the simplification)
The expression Y=(A+B)(B+C)(C+A) shows the _________ operation. a) AND b) POS c) SOP d) NAND
8) Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in sum-of-minterms form: F (A, B, C, D) = 2(4, 12, 7, 2, 10,) d(A, B, C, D) = 2(3, 9, 11, 15) d(A, B, C, D) = 2(0, 6, 8)