The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Recent questions tagged simplification
0
votes
0
answers
1
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) = $\sum(6,9,13,18,19,25,27,29,41,45,57,61)$
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

53
views
digitallogic
booleanalgebra
simplification
kmap
+1
vote
1
answer
2
Morris Mano Edition 3 Exercise 3 Question 25 (Page No. 112)
Implement the following boolean function F together with the don’tcare 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) $ $d(A,B,C,D) = \sum(8,10,14,15)$
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

64
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
1
answer
3
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'tcare conditions.
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

93
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
4
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) $F(w,x,y,z) = \sum(0,1,2,3,7,8,10)$ $d(w,x,y,z) = \sum(5,6,11,15)$ (b) $F(A,B,C,D) = \sum (3,4,13,15)$ $d(A,B,C,D) =\sum(1,2,5,6,8,10,12,14)$
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

27
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
5
Morris Mano Edition 3 Exercise 3 Question 22 (Page No. 112113)
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) $ $d(x,y,z)= \sum(3,6,7)$ (b) $F(A,B,C,D) = \sum(0,6,8,13,14)$ $d(A,B,C,D) = \sum(2,4,10)$ (C) $F(A,B,C,D) = \sum(1,3,5,7,9,15)$ $d(A,B,C,D)= \sum(4,6,12,13)$
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

34
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
6
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 twolevel forms can be used to extend the number of inputs to a gate.
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

24
views
digitallogic
simplification
descriptive
booleanalgebra
0
votes
0
answers
7
Morris Mano Edition 3 Exercise 3 Question 20 (Page No. 112)
Implement the function F with the Following two level Forms: NANDAND, ANDNOR, ORNAND, AND NOROR. F(A,B,C,D) = $\sum(0,1,2,3,4,8,9,12)$
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

34
views
digitallogic
booleanalgebra
simplification
digitalcircuits
0
votes
0
answers
8
Morris Mano Edition 3 Exercise 3 Question 19 (Page No. 112)
Find the eight different twolevel gate circuit to implement F = xy’z + x’yz + w.
asked
Apr 2
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

24
views
digitallogic
booleanalgebra
simplification
digitalcircuits
0
votes
0
answers
9
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) threelevel NOR gate circuits. F = wx’ + y’z’ + w’yz’ F(w,x,y,z) = $\sum(5,6,9,10)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

53
views
digitallogic
booleanalgebra
simplification
digitalcircuits
0
votes
0
answers
10
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) = $\sum ( 0,1,2,3,4,8,9,12)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

24
views
digitallogic
booleanalgebra
simplification
digitalcircuits
0
votes
0
answers
11
Morris Mano Edition 3 Exercise 3 Question 12,17 (Page No. 112)
Simplify the following expressions and implement them with (12)twolevel NAND gate circuits (17) threelevel NAND gate circuits (a) AB’ + ABD + ABD’ + A’C’D + A’BC’ (b) BD + BCD’ + AB’C’D’
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

20
views
digitallogic
booleanalgebra
simplification
digitalcircuits
+1
vote
1
answer
12
Morris Mano Edition 3 Exercise 3 Question 11 (Page No. 112)
Draw the ANDOR gate implementation of the following function after simplifying it in (a) sum of products and (b) product of sums. F= (A,B,C,D) = $\sum (0,2,5,6,7,8,10)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

29
views
digitallogic
booleanalgebra
simplification
kmap
digitalcircuits
0
votes
0
answers
13
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’ + xy AC’ + B’D + A’CD + ABCD (A’ + B’ + D’)(A + B’ + C’)(A’ + B + D’)(B + C’ + D’)
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

21
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
14
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) = $\prod(0,1,2,3,4,10,11)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

25
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
15
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’
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

19
views
digitallogic
booleanalgebra
kmap
simplification
0
votes
0
answers
16
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) = $\sum (1,3,4,5,10,11,12,13,14,15)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

17
views
digitallogic
booleanalgebra
kmap
simplification
0
votes
0
answers
17
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’z C’D + ABC’ +ABD’ + A’B’D wxy + x’z’ + w’xz
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

18
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
18
Morris Mano Edition 3 Exercise 3 Question 5 (Page No. 111)
Simplify the following boolean expressions using Four variable Kmaps. w’z + xz + x’y + wx’z B’D + A’BC’ + AB’C + ABC’ AB’C + B’C’D’ + BCD + ACD’ + A’B’C + A’BC’D wxy + yz + xy’z + x’y
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

13
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
19
Morris Mano Edition 3 Exercise 3 Question 4 (Page No. 111)
Simplify the following boolean functions using four variable K maps F(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) = $\sum (2,3,10,11,12,13,14,15)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

16
views
digitallogic
booleanalgebra
kmap
simplification
0
votes
0
answers
20
Morris Mano Edition 3 Exercise 3 Question 3 (Page No. 111)
Simplify the following boolean functions using four variable K maps F(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) = $\sum (3,7,11,13,14,15)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

26
views
digitallogic
simplification
kmap
booleanalgebra
0
votes
0
answers
21
Morris Mano Edition 3 Exercise 3 Question 2 (Page No. 111)
Simplify the Following Boolean Expressions using threevariable kmap. xy + x’y’z’ + x’yz’ x’y’ + yz + x’yz ’ A’B + BC’ + B’C’
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

23
views
digitallogic
booleanalgebra
simplification
kmap
0
votes
0
answers
22
Morris Mano Edition 3 Exercise 3 Question 1 (Page No. 111)
Simplify the following Boolean functions using ThreeVariable 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) = $\sum (0,2,3,4,6)$
asked
Apr 1
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

18
views
digitallogic
simplification
kmap
booleanalgebra
+1
vote
2
answers
23
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)
asked
Mar 31
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

60
views
digitallogic
booleanalgebra
simplification
+1
vote
2
answers
24
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
asked
Mar 31
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

24
views
digitallogic
booleanalgebra
simplification
0
votes
1
answer
25
Morris Mano Edition 3 Exercise 2 Question 4 (Page No. 69)
Reduce the Following Boolean Expressions to the indicated numbers of the literals A’C’ + ABC +AC’ to three literals (X’Y’ + Z’)’ + Z + XY + WZ to three literals A’B(D’ + C’D) + B(A + A’CD) to one literals (A’ + C)(A’ + C’)(A+ B + C’D) to four literals
asked
Mar 31
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

39
views
digitallogic
booleanalgebra
simplification
+1
vote
1
answer
26
Morris Mano Edition 3 Exercise 2 Question 3 (Page No. 69)
Simplify the Boolean expression to the minimum numbers of the literals. $ABC + A’B + ABC’$ $X’YZ + XZ$ $( X+ Y)’(X’ + Y’)$ $XY + X(WZ + WZ’)$ $(BC’ + A’D)(AB’ + CD’)$
asked
Mar 31
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

40
views
digitallogic
booleanalgebra
simplification
0
votes
1
answer
27
Morris Mano Edition 3 Exercise 2 Question 2 (Page No. 69)
Simplify the following boolean Expressions to the minimum number of Literals x’y’ + xy + x’y (x + y)(x + y’) x’y + xy’ + xy + x’y’ x’ + xy + xz’ + xy’z’ xy’ + y’z’ + x’z’
asked
Mar 31
in
Digital Logic
by
ajaysoni1924
Boss
(
10.5k
points)

39
views
digitallogic
booleanalgebra
simplification
0
votes
0
answers
28
Peter Linz Edition 4 Exercise 6.1 Question 13 (Page No. 162)
Consider the grammar G with Productions $S \rightarrow AB,$ $A \rightarrow λ,$ $B \rightarrow aBb,$ $B \rightarrow b$. Construct a Grammar $\hat{G}$ by applying the algorithm in Theorem 6.3.
asked
Mar 23, 2018
in
Theory of Computation
by
Mk Utkarsh
Boss
(
35.4k
points)

176
views
theoryofcomputation
simplification
peterlinz
+1
vote
1
answer
29
Removal of Null production
S > AB A > aBB  epsilon B > bAA  epsilon What will be the CFG after removal of NULL production My doubt is in this grammer epsilon is also accepted So we cant remove it right else the equivalent grammer will not be same as this grammer so What should be the answer of such problem if said to get rid of null productions?
asked
Nov 1, 2017
in
Theory of Computation
by
Na462
Loyal
(
6.8k
points)

649
views
theoryofcomputation
simplification
0
votes
0
answers
30
Automata: Conversion from CFG to CNF
Convert the following context free grammar into Chomsky Normal Form: $S \rightarrow ASA  aB$ $A \rightarrow B  S$ $B \rightarrow b  \epsilon$ Does the appearance of starting symbol S at RHS impacts the conversion from CFG to CNF?
asked
Oct 14, 2017
in
Theory of Computation
by
Manu Thakur
Boss
(
43.3k
points)

1.1k
views
theoryofcomputation
contextfreelanguage
cnf
simplification
Page:
1
2
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
OFFICIAL GATE MOCK TEST RELEASED
IIITH: Winter Research Admissions 2019 (For Spring 2020)
TIFR and JEST exam
Minimal Deterministic Finite Automata
To be aware of fake GATE test series
Follow @csegate
Recent questions tagged simplification
Recent Blog Comments
What region behind page not found in gate...
Sir can you please suggest some way like how can...
I think it's been refactored...
@ankitgupta.1729 options after JEST for...
@ankitgupta.1729 @arjun sir There is no...
50,651
questions
56,214
answers
194,175
comments
95,433
users