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Recent questions tagged simplification
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IB JIO Grade-2 Tech 2023 part-2: 16
Q.16 Simplify the Boolean expression.\[Y=A B+A(B+C)+B(B+C)\]Ans1. $Y=B+A C$2. $Y=A+B C$3. $Y=C+A B$ ... : 6306801082190Option 2 ID : 6306801082189Option 3 ID : 6306801082191Option 4 ID : 6306801082192Status : AnsweredChosen Option : 2
admin
226
views
admin
asked
Jul 31, 2023
Digital Logic
ibjio2023-part2
digital-logic
simplification
+
–
2.7k
views
1
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 27 (Page No. 113)
Simplify the Following boolean function by means of the tabulation method.(a) P(A,B,C,D,E,F,G)=$\sum(20,28,52,60)$(b) P(A,B,C,D,E,F,G)= $\sum(20,28,38,39,52,60,102,103,127)$(C) P(A,B,C,D,E,F) = $\sum(6,9,13,18,19,25,27,29,41,45,57,61)$
ajaysoni1924
2.7k
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
4.9k
views
1
answers
2
votes
Morris Mano Edition 3 Exercise 3 Question 25 (Page No. 112)
Implement the following boolean function F together with the don’t-care conditions d using no more than two NOR gates. Assume both normal and the compliment inputs are available.F(A,B,C,D) = $\sum(0,1,2,9,11) $d(A,B,C,D) = \sum(8,10,14,15)$
ajaysoni1924
4.9k
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
3.8k
views
1
answers
2
votes
Morris Mano Edition 3 Exercise 3 Question 24 (Page No. 112)
A logic circuit implements the following Boolean function:F = A’C + AC’D’it is found that the circuit input combination A=C=1 can never occur. Find a simpler expression for F using the proper don't-care conditions.
ajaysoni1924
3.8k
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
545
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 23 (Page No. 113)
Simplify the boolean function F together with the don't care conditions d in (1) sum of products and (2)product of sums.(A) $F(w,x,y,z) = \sum(0,1,2,3,7,8,10)$d(w,x,y,z) = \sum ... D) = \sum (3,4,13,15)$d(A,B,C,D) =\sum(1,2,5,6,8,10,12,14)$
ajaysoni1924
545
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
517
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 22 (Page No. 112-113)
Simplify the following boolean function F together with the don't care condition d; then express the simplified function in the sum of minterms.(a)$F(x,y,z)=\sum(0,1,2,4,5) $ ... ) = \sum(1,3,5,7,9,15)$d(A,B,C,D)= \sum(4,6,12,13)$
ajaysoni1924
517
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
579
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 21 (Page No. 112)
List the Eight degenerate 2 level forms and show that they reduce to the single operation. Explain how the degenerate two-level forms can be used to extend the number of inputs to a gate.
ajaysoni1924
579
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
simplification
descriptive
boolean-algebra
+
–
525
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 20 (Page No. 112)
Implement the function F with the Following two level Forms: NAND-AND, AND-NOR, OR-NAND, AND NOR-OR.F(A,B,C,D) = $\sum(0,1,2,3,4,8,9,12)$
ajaysoni1924
525
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
digital-circuits
+
–
500
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 19 (Page No. 112)
Find the eight different two-level gate circuit to implement F = xy’z + x’yz + w.
ajaysoni1924
500
views
ajaysoni1924
asked
Apr 2, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
digital-circuits
+
–
1.8k
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 15,16 (Page No. 112)
Simplify the following functions and implement them with (15) two- level NOR gate circuits (16) three-level NOR gate circuits.F = wx’ + y’z’ + w’yz’F(w,x,y,z) = $\sum(5,6,9,10)$
ajaysoni1924
1.8k
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
digital-circuits
+
–
661
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 13 (Page No. 112)
Draw the NAND gate logic diagram that implements the complement of the following funcions:F(A,B,C,D) = $\sum ( 0,1,2,3,4,8,9,12)$
ajaysoni1924
661
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
digital-circuits
+
–
806
views
0
answers
1
votes
Morris Mano Edition 3 Exercise 3 Question 12,17 (Page No. 112)
Simplify the following expressions and implement them with (12)two-level NAND gate circuits (17) three-level NAND gate circuits(a) AB’ + ABD + ABD’ + A’C’D + A’BC’(b) BD + BCD’ + AB’C’D’
ajaysoni1924
806
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
digital-circuits
+
–
585
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 10 (Page No. 112)
Simplify the following boolean expressions into (1) Product of sums (2) sum of products.x’z’ + y’z’ + yz’ + xyAC’ + B’D + A’CD + ABCD(A’ + B’ + D’)(A + B’ + C’)(A’ + B + D’)(B + C’ + D’)
ajaysoni1924
585
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
526
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 9 (Page No. 111)
Simplify the following boolean functions in product of sums:F(w,x,y,z) = $\sum(0,2,5,6,7,8,10)$F(A,B,C,D) = $\prod(1,3,5,7,13,15)$F(x,y,z) = $\sum(2,3,6,7)$F(A,B,C,D) = $\prod(0,1,2,3,4,10,11)$
ajaysoni1924
526
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
1.6k
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 8 (Page No. 111)
Simplify the following boolean function using five variable maps.F(A,B,C,D,E) = $\sum (0,1,4,5,16,17,25,21,29)$F(A,B,C,D,E) = $\sum (0,2,3,4,5,6,7,11,15,16,18,19,23,27,31)$F= A’B’CE’ + A’B’C’D + B’D’E’ + B’CD’ + CDE’ + BDE’
ajaysoni1924
1.6k
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
k-map
simplification
+
–
451
views
0
answers
1
votes
Morris Mano Edition 3 Exercise 3 Question 7 (Page No. 111)
Simplify the following boolean functions by first finding the essential prime implicants.F(w,x,y,z) = $\sum (0,2,4,5,6,7,8,10.13,15)$F(A,B,C,D) = $\sum (0,2,3,5,7,8,10,11,14,15)$F(A,B,C,D) = $\sum (1,3,4,5,10,11,12,13,14,15)$
ajaysoni1924
451
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
k-map
simplification
+
–
701
views
0
answers
1
votes
Morris Mano Edition 3 Exercise 3 Question 6 (Page No. 111)
Find the Minterms of the each of the following expression by first plotting each function in the map.xy + yz + xy’zC’D + ABC’ +ABD’ + A’B’Dwxy + x’z’ + w’xz
ajaysoni1924
701
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
1.1k
views
0
answers
4
votes
Morris Mano Edition 3 Exercise 3 Question 5 (Page No. 111)
Simplify the following boolean expressions using Four variable K-maps.w’z + xz + x’y + wx’zB’D + A’BC’ + AB’C + ABC’AB’C + B’C’D’ + BCD + ACD’ + A’B’C + A’BC’Dwxy + yz + xy’z + x’y
ajaysoni1924
1.1k
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
401
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 4 (Page No. 111)
Simplify the following boolean functions using four variable K- mapsF(A,B,C,D) = $\sum (0,1,2,4,5,7,11,15)$F(w,x,y,z) = $\sum (1,4,5,6,12,14,15)$F(A,B,C,D) = $\sum (0,2,4,5,6,7,8,10,13,15)$F(w,x,y,z) = $\sum (2,3,10,11,12,13,14,15)$
ajaysoni1924
401
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
k-map
simplification
+
–
664
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 3 (Page No. 111)
Simplify the following boolean functions using four variable K- mapsF(A,B,C,D) = $\sum (4,6,7,15)$F(w,x,y,z) = $\sum (2,3,12,13,14,15)$F(A,B,C,D) = $\sum (3,7,11,13,14,15)$
ajaysoni1924
664
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
simplification
k-map
boolean-algebra
+
–
536
views
0
answers
0
votes
Morris Mano Edition 3 Exercise 3 Question 2 (Page No. 111)
Simplify the Following Boolean Expressions using three-variable k-map.xy + x’y’z’ + x’yz’x’y’ + yz + x’yz ’A’B + BC’ + B’C’
ajaysoni1924
536
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
k-map
+
–
1.2k
views
0
answers
1
votes
Morris Mano Edition 3 Exercise 3 Question 1 (Page No. 111)
Simplify the following Boolean functions using Three-Variable maps.F(x,y,z) = $\sum (0,1,5,7)$F(x,y,z) = $\sum (1,2,3,6,7)$F(x,y,z) = $\sum (3,5,6,7)$F(A,B,C) = $\sum (0,2,3,4,6)$
ajaysoni1924
1.2k
views
ajaysoni1924
asked
Apr 1, 2019
Digital Logic
digital-logic
morris-mano
simplification
k-map
boolean-algebra
+
–
36.1k
views
2
answers
5
votes
Morris Mano Edition 3 Exercise 2 Question 12 (Page No. 70)
Express the following function in the sum of minterms and The product of the maxterms.(a) F(A,B,C,D) = B’D + A’D + BD(b)F(x,y,z)=(xy + z)(xz + y)
ajaysoni1924
36.1k
views
ajaysoni1924
asked
Mar 31, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
+
–
3.4k
views
2
answers
1
votes
Morris Mano Edition 3 Exercise 2 Question 5 (Page No. 69)
Find the complement of X + YZ; then show that F.F’=0 and F + F’ = 1
ajaysoni1924
3.4k
views
ajaysoni1924
asked
Mar 31, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
+
–
9.9k
views
1
answers
4
votes
Morris Mano Edition 3 Exercise 2 Question 4 (Page No. 69)
Reduce the Following Boolean Expressions to the indicated numbers of the literalsA'C' + ABC +AC' to three literals(X'Y' + Z')' + Z + XY + WZ to three literalsA'B(D' + C'D) ... ) to one literals(A' + C)(A' + C')(A+ B + C'D) to four literals
ajaysoni1924
9.9k
views
ajaysoni1924
asked
Mar 31, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
+
–
1.8k
views
1
answers
2
votes
Morris Mano Edition 3 Exercise 2 Question 3 (Page No. 69)
Simplify the Boolean expression to the minimum numbers of the literals. $ABC + A’B + ABC’$X’YZ + XZ$( X+ Y)’(X’ + Y’)$XY + X(WZ + WZ’)$(BC’ + A’D)(AB’ + CD’)$
ajaysoni1924
1.8k
views
ajaysoni1924
asked
Mar 31, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
+
–
7.8k
views
1
answers
2
votes
Morris Mano Edition 3 Exercise 2 Question 2 (Page No. 69)
Simplify the following boolean Expressions to the minimum number of Literalsx’y’ + xy + x’y(x + y)(x + y’)x’y + xy’ + xy + x’y’x’ + xy + xz’ + xy’z’xy’ + y’z’ + x’z’
ajaysoni1924
7.8k
views
ajaysoni1924
asked
Mar 31, 2019
Digital Logic
digital-logic
morris-mano
boolean-algebra
simplification
+
–
837
views
0
answers
0
votes
Peter Linz Edition 4 Exercise 6.1 Question 13 (Page No. 162)
Consider the grammar G with Productions$S \rightarrow A|B,$A \rightarrow λ,$B \rightarrow aBb,$B \rightarrow b$.Construct a Grammar $\hat{G}$ by applying the algorithm in Theorem 6.3.
Mk Utkarsh
837
views
Mk Utkarsh
asked
Mar 23, 2018
Theory of Computation
theory-of-computation
simplification
peter-linz
peter-linz-edition4
+
–
620
views
1
answers
0
votes
Stuck in Recurrence Relation in Algorithm
How to find log of the first n natural numbers?$T(n)= \log 1+ \log 2+ \log 3+\ldots + \log n$ // How to proceed from here?
iarnav
620
views
iarnav
asked
Jan 11, 2018
Quantitative Aptitude
logarithms
simplification
+
–
3.0k
views
1
answers
1
votes
Removal of Null production
S -> ABA -> aBB | epsilonB -> bAA | epsilonWhat will be the CFG after removal of NULL productionMy doubt is in this grammer epsilon is also accepted So we ... What should be the answer of such problem if said to get rid of null productions?
Na462
3.0k
views
Na462
asked
Nov 1, 2017
Theory of Computation
theory-of-computation
simplification
+
–
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