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Recent questions tagged min-sum-of-products-form
11
votes
2
answers
1
GATE CSE 2021 Set 2 | Question: 52
Consider a Boolean function $f(w,x,y,z)$ such that $\begin{array}{lll} f(w,0,0,z) & = & 1 \\ f(1,x,1,z) & =& x+z \\ f(w,1,y,z) & = & wz +y \end{array}$The number of literals in the minimal sum-of-products expression of $f$ is _________
Arjun
asked
in
Digital Logic
Feb 18, 2021
by
Arjun
6.2k
views
gatecse-2021-set2
digital-logic
boolean-algebra
min-sum-of-products-form
numerical-answers
2-marks
0
votes
1
answer
2
Morris Mano Edition 3 Exercise 2 Question 15 (Page No. 71)
The sum of all the minterms of the boolean function of the n variable is 1. Prove the above statement with n = 3. give a Procedure for a general proof
ajaysoni1924
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in
Digital Logic
Mar 31, 2019
by
ajaysoni1924
2.4k
views
digital-logic
morris-mano
boolean-algebra
min-sum-of-products-form
1
vote
2
answers
3
Morris Mano Edition 3 Exercise 2 Question 13 (Page No. 71)
Express the complement of the following function in the sum of minterms. $(a) F(A,B,C,D) = \sum(0,2,6,11,13,14)$ $(b) F(x,y,z) = \prod(0,3,6,7)$
ajaysoni1924
asked
in
Digital Logic
Mar 31, 2019
by
ajaysoni1924
1.8k
views
digital-logic
morris-mano
boolean-algebra
min-sum-of-products-form
0
votes
0
answers
4
Digital Logic - Min Sum Of Products Form
What is the minimum SOP expression for the following f(a,b,c,d) = Σm(8, 10, 11, 12, 13, 15) + Σd(7, 9 , 14)? I’m getting only “a” as the answer, but the answer given is “a + bcd”. My doubt – the “Dont care term” generating the expression “bcd” is NOT necessary, and it is NOT considered as an Essential Prime Implicant. Please correct if I’m wrong
Hopealways
asked
in
Digital Logic
Dec 31, 2018
by
Hopealways
276
views
digital-logic
min-sum-of-products-form
0
votes
0
answers
5
Minimization of POS
Please verify my approach for calculation the minimal POS form for a function f. STEPS: Find out the f' in sum of minterms. Minimize f' and find out minimal SOP form. Using DeMorgan's law, find out f. The calcuated f will be minimal and in ... approach. However, I need a confirmation whether this method is actually correct and is bound to give me correct results all the time..!
Harsh Kumar
asked
in
Digital Logic
Jul 26, 2018
by
Harsh Kumar
380
views
digital-logic
k-map
min-sum-of-products-form
25
votes
3
answers
6
GATE CSE 2018 | Question: 49
Consider the minterm list form of a Boolean function $F$ given below. $F(P, Q, R, S) = \Sigma m(0, 2, 5, 7, 9, 11) + d(3, 8, 10, 12, 14)$ Here, $m$ denotes a minterm and $d$ denotes a don't care term. The number of essential prime implicants of the function $F$ is ___
gatecse
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in
Digital Logic
Feb 14, 2018
by
gatecse
11.5k
views
gatecse-2018
digital-logic
min-sum-of-products-form
numerical-answers
2-marks
2
votes
1
answer
7
MadeEasy Test Series 2018: Digital Logic - Min Sum Of Products Form
A switching function of four variable, is equal to the product of two other functions f1and f2, of the same variable, i.e. f = f1 f2. The function f and f1 are as follows: The number of full specified function, that will satisfy the given condition, is
mohit kumar 5
asked
in
Digital Logic
Jan 12, 2018
by
mohit kumar 5
635
views
digital-logic
min-sum-of-products-form
made-easy-test-series
madeeasy-testseries-2018
0
votes
1
answer
8
Digital Systems - Min/Max-Term Expressions
From the following tables Two bits equality detector: x1 x2 y1 y2 f 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 1 ... of the f output of two bits equlity detector. Write down the max-term expression of the f output of the truth table below: x y f 0 0 0 0 1 1 1 0 0 1 1 1
Garrett McClure
asked
in
Digital Logic
Sep 7, 2017
by
Garrett McClure
460
views
digital-logic
min-sum-of-products-form
digital-circuits
1
vote
1
answer
9
Test by Bikram | Mock GATE | Test 4 | Question: 36
Which of the following statements is/are CORRECT? $S_1$: Max term is a sum term which contains all the variables in either direct or complementary form. $S_2$: Min term is a product term which contains all the variables in either direct or ... $S_3$ is correct only $S_2$ is correct All $S_1$, $S_2$ and $S_3$ are correct
Bikram
asked
in
Digital Logic
May 14, 2017
by
Bikram
226
views
tbb-mockgate-4
digital-logic
simplification
min-sum-of-products-form
0
votes
1
answer
10
MadeEasy Subject Test: Digital Logic - Min Sum Of Products Form
vaishali jhalani
asked
in
Digital Logic
Jan 30, 2017
by
vaishali jhalani
430
views
made-easy-test-series
digital-logic
min-sum-of-products-form
5
votes
1
answer
11
Number of Boolean function possible
Number of boolean function with 3 boolean variable such that the function contain exactly 2 or 7 min term in their canonical SOP? Please explain the logic!
smartmeet
asked
in
Digital Logic
Jan 8, 2017
by
smartmeet
2.8k
views
combinatory
min-sum-of-products-form
16
votes
1
answer
12
GATE CSE 1988 | Question: 2-v
Three switching functions $f_1, \: f_2 \:$ and $f_3$ are expressed below as sum of minterms. $f_1 (w, x, y, z) = \sum \: 0, 1, 2, 3, 5, 12$ $f_2 (w, x, y, z) = \sum \: 0, 1, 2, 10, 13, 14, 15$ $f_3 (w, x, y, z) = \sum \: 2, 4, 5, 8$ Express the function $f$ realised by the circuit shown in the below figure as the sum of minterms (in decimal notation).
go_editor
asked
in
Digital Logic
Dec 11, 2016
by
go_editor
2.1k
views
gate1988
descriptive
digital-logic
easy
circuit-output
min-sum-of-products-form
0
votes
1
answer
13
GATE Overflow | Digital Logic | Test 1 | Question: 2
Find the minimum sum of products form of the below Logic function : $F(A,B,C,D) = \sum m(0,2,8,10,15) + \sum d(3,11,12,14)$ where $m$ and $d$ are min-terms and don’t care conditions respectively. $AC +\bar BC \bar D +B\bar C $ $\bar B \bar D + AC$ $\bar AC +BC+\bar B\bar C \bar D$ $B\bar C\bar D + \bar BA + CA$
Bikram
asked
in
Digital Logic
Sep 19, 2016
by
Bikram
105
views
digital-logic
go-digital-logic-1
min-sum-of-products-form
18
votes
2
answers
14
GATE CSE 1991 | Question: 5-b
Find the minimum sum of products form of the logic function $ f(A,B,C,D) = \Sigma_{m}(0,2,8,10,15)+ \Sigma _{d}(3,11,12,14)$ where $m$ and $d$ represent minterm and don't care term respectively.
ibia
asked
in
Digital Logic
Nov 14, 2015
by
ibia
2.5k
views
gate1991
digital-logic
boolean-algebra
min-sum-of-products-form
descriptive
20
votes
1
answer
15
GATE CSE 1997 | Question: 71
Let $f=(\bar{w} + y)(\bar{x} +y)(w+\bar{x}+z)(\bar{w}+z)(\bar{x}+z)$ Express $f$ as the minimal sum of products. Write only the answer. If the output line is stuck at $0$, for how many input combinations will the value of $f$ be correct?
go_editor
asked
in
Digital Logic
Oct 15, 2015
by
go_editor
2.3k
views
gate1997
digital-logic
min-sum-of-products-form
numerical-answers
19
votes
2
answers
16
GATE IT 2008 | Question: 8
Consider the following Boolean function of four variables $f(A, B, C, D) = Σ(2, 3, 6, 7, 8, 9, 10, 11, 12, 13)$ The function is independent of one variable independent of two variables independent of three variable dependent on all the variables
Ishrat Jahan
asked
in
Digital Logic
Oct 28, 2014
by
Ishrat Jahan
4.7k
views
gateit-2008
digital-logic
normal
min-sum-of-products-form
22
votes
7
answers
17
GATE CSE 2011 | Question: 14
The simplified SOP (Sum of Product) from the Boolean expression $(P + \bar{Q} + \bar{R}) . (P + \bar{Q} + R) . (P + Q +\bar{R})$ is $(\bar{P}.Q+\bar{R})$ $(P+\bar{Q}.\bar{R})$ $(\bar{P}.Q+R)$ $(P.Q+R)$
go_editor
asked
in
Digital Logic
Sep 29, 2014
by
go_editor
7.0k
views
gatecse-2011
digital-logic
normal
min-sum-of-products-form
17
votes
1
answer
18
GATE CSE 2014 Set 3 | Question: 7
Consider the following minterm expression for $F$: $F(P,Q,R,S) = \sum 0,2,5,7,8,10,13,15$ The minterms $2$, $7$, $8$ and $13$ are 'do not care' terms. The minimal sum-of-products form for $F$ is $Q \bar S+ \bar QS$ $ \bar Q \bar S+QS$ $ \bar Q \bar R \bar S+ \bar QR \bar S+Q \bar R S+QRS$ $ \bar P \bar Q \bar S+ \bar P QS+PQS+P \bar Q \bar S$
go_editor
asked
in
Digital Logic
Sep 28, 2014
by
go_editor
3.4k
views
gatecse-2014-set3
digital-logic
min-sum-of-products-form
normal
33
votes
4
answers
19
GATE CSE 2014 Set 1 | Question: 45
Consider the $4\text{-to-1}$ multiplexer with two select lines $ S_1$ and $ S_0 $ given below The minimal sum-of-products form of the Boolean expression for the output $F$ of the multiplexer is $\bar{P}Q + Q\bar{R} + P\bar{Q}R$ $\bar{P}Q + \bar{P}Q\bar{R} + PQ\bar{R} + P\bar{Q}R$ $\bar{P}QR + \bar{P}Q\bar{R} + Q\bar{R} + P\bar{Q}R$ $PQ\bar{R}$
go_editor
asked
in
Digital Logic
Sep 28, 2014
by
go_editor
10.3k
views
gatecse-2014-set1
digital-logic
normal
multiplexer
min-sum-of-products-form
56
votes
3
answers
20
GATE CSE 2006 | Question: 38
Consider a Boolean function $ f(w,x,y,z)$. Suppose that exactly one of its inputs is allowed to change at a time. If the function happens to be true for two input vectors $ i_{1}=\left \langle w_{1}, x_{1}, y_{1},z_{1}\right \rangle $ ... $ wx\overline{y} \overline{z}, xz, w\overline{x}yz$ $ wx\overline{y}, wyz, wxz, \overline{w}xz, x\overline{y}z, xyz$
Rucha Shelke
asked
in
Digital Logic
Sep 26, 2014
by
Rucha Shelke
16.8k
views
gatecse-2006
digital-logic
min-sum-of-products-form
difficult
static-hazard
26
votes
7
answers
21
GATE CSE 2014 Set 1 | Question: 7
Consider the following Boolean expression for F: $F(P,Q,R,S)= PQ + \bar{P}QR + \bar{P}Q\bar{R}S$ The minimal sum$-$of$-$products form of $F$ is $PQ+QR+QS$ $P+Q+R+S$ $\bar{P} + \bar{Q}+ \bar{R}+ \bar{S}$ $\bar{P}R + \bar{R} \bar{P}S+P$
go_editor
asked
in
Digital Logic
Sep 26, 2014
by
go_editor
5.9k
views
gatecse-2014-set1
digital-logic
normal
min-sum-of-products-form
18
votes
2
answers
22
GATE CSE 2005 | Question: 18
The switching expression corresponding to $f(A,B,C,D)=\Sigma(1, 4, 5, 9, 11, 12)$ is: $BC’D’ + A’C’D + AB’D$ $ABC’ + ACD + B’C’D$ $ACD’ + A’BC’ + AC’D’$ $A’BD + ACD’ + BCD’$
Kathleen
asked
in
Digital Logic
Sep 22, 2014
by
Kathleen
3.9k
views
gatecse-2005
digital-logic
normal
min-sum-of-products-form
17
votes
1
answer
23
GATE CSE 2007 | Question: 9
Consider the following Boolean function of four variables: $f(w, x, y, z) = \Sigma(1, 3, 4, 6, 9, 11, 12, 14)$ The function is independent of one variables. independent of two variables. independent of three variables. dependent on all variables
Kathleen
asked
in
Digital Logic
Sep 22, 2014
by
Kathleen
2.3k
views
gatecse-2007
digital-logic
normal
min-sum-of-products-form
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