Register

Recent questions tagged simplification

4 4 votes
1 1 answer
625
625 views
GATE CSE 2026 | Set 1 | Digital Logic | Question 44
Consider the following Boolean expression of a function $F$ :\[F(P, Q)=(\bar{P}+Q) \oplus(\bar{P} Q)\]Which of the following expressions is/are equivalent to $F$ ?$\overl...
User Avatar
1 1 vote
1 1 answer
427
427 views
Simplification and Complement of Boolean expressions.
a). Simplify the following Boolean expressions.i. A’C’ + ABC + AC’ to three literalsii. (x’y’ + z)’ + z + xy + wz to three literals .iii. A’B(D’ + C’D) + B(A +A’CD) to on...
User Avatar
0 0 votes
1 1 answer
440
440 views
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$4. $Y=A C$Question ID : 630680278458Option 1 ID : 6306801082190Option 2...
User Avatar
1 1 vote
1 1 answer
3.0k
3.0k views
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(20,28,38,39,52,60,102,103,12...
User Avatar
2 2 votes
1 1 answer
6.0k
6.0k views
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 av...
User Avatar
2 2 votes
1 answers 1 answer
5.2k
5.2k views
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 f...
User Avatar
0 0 votes
0 0 answers
657
657 views
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)...
User Avatar
0 0 votes
0 0 answers
672
672 views
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,...
User Avatar
0 0 votes
0 0 answers
744
744 views
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 ...
User Avatar
0 0 votes
0 0 answers
723
723 views
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)$
User Avatar
0 0 votes
0 0 answers
667
667 views
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.
User Avatar
0 0 votes
0 0 answers
2.0k
2.0k views
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...
User Avatar
0 0 votes
0 0 answers
805
805 views
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)$
User Avatar
3 3 votes
0 0 answers
1.1k
1.1k views
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 ...
User Avatar
0 0 votes
0 0 answers
720
720 views
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 + ...
User Avatar
0 0 votes
0 0 answers
739
739 views
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) = $...
User Avatar
0 0 votes
0 0 answers
1.8k
1.8k views
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...
User Avatar
1 1 vote
0 0 answers
592
592 views
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...
User Avatar
1 1 vote
0 0 answers
867
867 views
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
User Avatar
5 5 votes
0 0 answers
1.3k
1.3k views
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 + ...
User Avatar
0 0 votes
0 0 answers
548
548 views
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...
User Avatar
0 0 votes
0 0 answers
793
793 views
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...
User Avatar
0 0 votes
0 0 answers
684
684 views
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’
User Avatar
1 1 vote
0 0 answers
1.4k
1.4k views
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,...
User Avatar
5 5 votes
2 2 answers
40.8k
40.8k views
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)
User Avatar
1 1 vote
2 2 answers
4.2k
4.2k views
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
User Avatar
4 4 votes
1 1 answer
11.7k
11.7k views
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’...
User Avatar
2 2 votes
1 answers 1 answer
2.2k
2.2k views
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’)$$(BC’ + A’D)(AB’ + CD’)$
User Avatar
3 3 votes
1 1 answer
9.6k
9.6k views
Morris Mano Edition 3 Exercise 2 Question 2 (Page No. 69)
Simplify the following boolean Expressions to the minimum number of Literalsx’y’ + xy + x’y(x + y)(x + y’)x’y + xy’ + xy + x’y’x’ + xy + xz’ + xy’z’xy’ + y’z’ + x’z’
User Avatar
0 0 votes
0 0 answers
1.4k
1.4k views
Peter Linz Edition 4 Exercise 6.1 Question 13 (Page No. 162)
Consider the grammar G with Productions$S \rightarrow A|B,$$A \rightarrow λ,$$B \rightarrow aBb,$$B \rightarrow b$.Construct a Grammar $\hat{G}$ by applying the algorit...
User Avatar
Page: