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Recent questions tagged canonical-normal-form
2
votes
1
answer
1
GATE CSE 2024 | Set 2 | Question: 40
Consider $4$-variable functions $f 1, f 2, f 3, f 4$ expressed in sum-of-minterms form as given below. \[ \begin{array}{l} f 1=\sum(0,2,3,5,7,8,11,13) \\ f 2=\sum(1,3,5,7,11,13,15) \\ f 3=\sum(0,1,4,11) \\ f 4=\sum(0,2,6,13) \end{array} \] With ... $\boldsymbol{Y}=\sum(0,1,2,3,4,5,6,7)$ $\boldsymbol{Y}=\Pi(8,9,10,11,12,13,14,15)$
Arjun
asked
in
Digital Logic
Feb 16
by
Arjun
1.6k
views
gatecse2024-set2
digital-logic
canonical-normal-form
multiple-selects
14
votes
4
answers
2
GATE CSE 2020 | Question: 28
Consider the Boolean function $z(a,b,c)$. Which one of the following minterm lists represents the circuit given above? $z=\sum (0,1,3,7)$ $z=\sum (1,4,5,6,7)$ $z=\sum (2,4,5,6,7)$ $z=\sum (2,3,5)$
Arjun
asked
in
Digital Logic
Feb 12, 2020
by
Arjun
7.9k
views
gatecse-2020
digital-logic
canonical-normal-form
2-marks
38
votes
11
answers
3
GATE CSE 2019 | Question: 50
What is the minimum number of $2$-input NOR gates required to implement a $4$ -variable function expressed in sum-of-minterms form as $f=\Sigma(0,2,5,7, 8, 10, 13, 15)?$ Assume that all the inputs and their complements are available. Answer: _______
Arjun
asked
in
Digital Logic
Feb 7, 2019
by
Arjun
30.2k
views
gatecse-2019
numerical-answers
digital-logic
canonical-normal-form
2-marks
1
vote
2
answers
4
Don't Care term in POS
Should we use Don't care terms while calculating POS expression?
Jason
asked
in
Digital Logic
Mar 21, 2018
by
Jason
2.5k
views
digital-logic
canonical-normal-form
k-map
2
votes
1
answer
5
Canonical Normal Form, Boolean Expression, Minimization
Are multiple SOP and POS expressions possible such that they all are unique ?
rishi71662data4
asked
in
Digital Logic
Oct 17, 2017
by
rishi71662data4
751
views
digital-logic
canonical-normal-form
19
votes
3
answers
6
GATE CSE 1990 | Question: 5-a
Find the minimum product of sums of the following expression $f=ABC + \overline{A}\;\;\overline{B}\;\;\overline{C}$
makhdoom ghaya
asked
in
Digital Logic
Nov 23, 2016
by
makhdoom ghaya
6.3k
views
gate1990
digital-logic
boolean-algebra
min-product-of-sums
canonical-normal-form
descriptive
0
votes
1
answer
7
GATE Overflow | Digital Logic | Test 1 | Question: 20
The minimum number of $T$ –gates required to implement the following function is $F(w,x,y,z) = \sum m (0,1,2,4,7,8,9,10,12,15) $
Bikram
asked
in
Digital Logic
Sep 20, 2016
by
Bikram
205
views
digital-logic
go-digital-logic-1
numerical-answers
canonical-normal-form
1
vote
2
answers
8
GATE Overflow | Digital Logic | Test 1 | Question: 19
The Min-term expansion of $F(P,Q,R)= PQ+Q\bar R+P\bar R$ is $m_2 + m_4 + m_6 + m_7$ $ m_0 + m_1 + m_6 + m_7$ $m_0 + m_1 + m_3 + m_5$ $m_2 + m_3 + m_4 + m_5$
Bikram
asked
in
Digital Logic
Sep 20, 2016
by
Bikram
223
views
digital-logic
go-digital-logic-1
canonical-normal-form
15
votes
6
answers
9
ISRO2016-16
The simplified SOP (Sum of Product) from the Boolean expression $(\text{P} + \overline{\text{Q}} + \overline{\text{R}}) . (\text{P} + \text{Q + R) . (P + Q} +\overline{\text{R}})$ is $(\overline{\text{P}}.\text{Q}+\overline{\text{R}})$ $(\text{P + Q}.\overline{\text{R}})$ $(\text{P}.\overline{\text{Q}}+\text{R})$ $\text{(P.Q + R)}$
Arjun
asked
in
Digital Logic
Jul 4, 2016
by
Arjun
8.2k
views
digital-logic
canonical-normal-form
isro2016
9
votes
5
answers
10
ISRO-2013-28
The most simplified form of the Boolean function $x (A, B, C, D) = \sum (7, 8, 9, 10, 11, 12, 13, 14, 15)$ (expressed in sum of minterms) is? A + A'BCD AB + CD A + BCD ABC + D
makhdoom ghaya
asked
in
Digital Logic
Apr 27, 2016
by
makhdoom ghaya
4.4k
views
isro2013
digital-logic
canonical-normal-form
27
votes
2
answers
11
TIFR CSE 2015 | Part B | Question: 9
A Boolean expression is an expression made out of propositional letters (such as $p, q, r$) and operators $\wedge$, $\vee$ and $\neg$; e.g. $p\wedge \neg (q \vee \neg r)$. An expression is said to be ... Boolean expression is equivalent to an expression without $\wedge$ operator. Every Boolean expression is equivalent to an expression without $\neg$ operator.
makhdoom ghaya
asked
in
Digital Logic
Dec 8, 2015
by
makhdoom ghaya
2.3k
views
tifr2015
canonical-normal-form
3
votes
3
answers
12
F = {X -> YZ, Y -> XZ, Z -> X} How many no. of minimal and canonical covers are possible?
Answer is 2 minimal and 2 canonical covers. Please give full explanation of how to solve.
Shefali
asked
in
Databases
Jul 22, 2015
by
Shefali
1.9k
views
database-normalization
databases
canonical-normal-form
39
votes
6
answers
13
GATE CSE 2015 Set 3 | Question: 44
Given the function $F = P' +QR$, where $F$ is a function in three Boolean variables $P, Q$ and $R$ and $P'=!P$, consider the following statements. $(S1) F = \sum(4, 5, 6)$ $(S2) F = \sum(0, 1, 2, 3, 7)$ $(S3) F = \Pi (4, 5, 6)$ ... (S2)-False, (S3)-False, (S4)-True (S1)-False, (S2)-False, (S3)-True, (S4)-True (S1)-True, (S2)-True, (S3)-False, (S4)-False
go_editor
asked
in
Digital Logic
Feb 15, 2015
by
go_editor
8.3k
views
gatecse-2015-set3
digital-logic
canonical-normal-form
normal
44
votes
7
answers
14
GATE CSE 2015 Set 3 | Question: 43
The total number of prime implicants of the function $f(w, x, y, z) = \sum (0, 2, 4, 5, 6, 10)$ is __________
go_editor
asked
in
Digital Logic
Feb 15, 2015
by
go_editor
17.5k
views
gatecse-2015-set3
digital-logic
canonical-normal-form
normal
numerical-answers
3
votes
4
answers
15
Kindly have a try .... IN canonical POS form following equation is written as (ABC)=AB+BC+AC (A)πM(0,1,2,4) (B)πM(3,5,6,7) (A)πM(0,1,2,3) (A)πM(4,5,6,7)
Gobind
asked
in
Digital Logic
Oct 11, 2014
by
Gobind
3.4k
views
digital-logic
canonical-normal-form
25
votes
3
answers
16
GATE CSE 2010 | Question: 6
The minterm expansion of $f(P,Q,R) = PQ +Q \bar{R}+P\bar{R}$ is $m_2+m_4+m_6+m_7$ $m_0+m_1+m_3+m_5$ $m_0+m_1+m_6+m_7$ $m_2+m_3+m_4+m_5$
go_editor
asked
in
Digital Logic
Sep 29, 2014
by
go_editor
7.4k
views
gatecse-2010
digital-logic
canonical-normal-form
normal
57
votes
4
answers
17
GATE CSE 2002 | Question: 2-1
Consider the following logic circuit whose inputs are functions $f_1, f_2, f_3$ and output is $f$ Given that $f_1(x,y,z) = \Sigma (0,1,3,5)$ $f_2(x,y,z) = \Sigma (6,7),$ and $f(x,y,z) = \Sigma (1,4,5).$ $f_3$ is $\Sigma (1,4,5)$ $\Sigma (6,7)$ $\Sigma (0,1,3,5)$ None of the above
Kathleen
asked
in
Digital Logic
Sep 15, 2014
by
Kathleen
14.3k
views
gatecse-2002
digital-logic
normal
canonical-normal-form
circuit-output
37
votes
5
answers
18
GATE CSE 2008 | Question: 8
Given $f_1$, $f_3$ and $f$ in canonical sum of products form (in decimal) for the circuit $f_1 = \Sigma m(4, 5, 6, 7, 8)$ $f_3 = \Sigma m(1, 6, 15)$ $f = \Sigma m(1, 6, 8, 15)$ then $f_2$ is $\Sigma m(4, 6)$ $\Sigma m(4, 8)$ $\Sigma m(6, 8)$ $\Sigma m(4, 6, 8)$
Kathleen
asked
in
Digital Logic
Sep 11, 2014
by
Kathleen
9.4k
views
gatecse-2008
digital-logic
canonical-normal-form
easy
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