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Recent questions tagged min-sum-of-products-form

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GATE CSE 2024 | Set 1 | Question: 37
Consider a Boolean expression given by $\text{F(X, Y, Z)}=\sum(3,5,6,7)$.Which of the following statements is/are CORRECT?$\text{F(X, Y, Z)}=\Pi(0,1,2,4)$ $\text{F(X, Y, ...
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GO Classes 2023 | IIITH Mock Test 1 | Question: 39
Consider a $4$ input boolean function $\mathrm{F}(\mathrm{X}, \mathrm{Y}, \mathrm{Z}, \mathrm{T})$.The minterm $\mathrm{X}^{\prime} \mathrm{Y}^{\prime} \mathrm{Z}^{\prime...
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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 li...
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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
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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)$$(b) F(x,y,z) = \prod(0,3,6,7)$
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Digital Logic - Min Sum Of Products Form
What is the minimum SOP expression for the followingf(a,b,c,d) = Σm(8, 10, 11, 12, 13, 15) + Σd(7, 9 , 14)?I’m getting only “a” as the answer, but the answer give...
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Minimization of POS
Please verify my approach for calculation the minimal POS form for a function f.STEPS:Find out the f' in sum of minterms.Minimize f' and find out minimal SOP form.Using D...
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GATE CSE 2018 | Question: 49
Consider the minterm list form of a Boolean function $F$ given below.$$F(P, Q, R, S) = \Sigma m(0, 2, 5, 7, 9, 11) + d(3, 8, 10, 12, 14)$$Here, $m$ denotes a minterm and ...
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MadeEasy Test Series 2018: Digital Logic - Min Sum Of Products Form
A switching function of four variable, is equal to the product of two other functions f1and f2, of the same variable, i.e. f = f1 f2. The function f and f1 are as follow...
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Digital Systems - Min/Max-Term Expressions
From the following tablesTwo bits equality detector:x1x2y1y2f00001000100010000110010000101101100011101000010010101011011011000110101110011111Min-term expresson:xyfmin-ter...
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Test by Bikram | Mock GATE | Test 4 | Question: 36
Which of the following statements is/are CORRECT?$S_1$: Max term is a sum term which contains all the variables in either direct or complementary form.$S_2$: Min term is ...
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MadeEasy Subject Test: Digital Logic - Min Sum Of Products Form
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Number of Boolean function possible
Number of boolean function with 3 boolean variable such that the function contain exactly 2 or 7 min term in their canonical SOP?Please explain the logic!
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GATE CSE 1988 | Question: 2-v
Three switching functions $f_1, \: f_2 \:$ and $f_3$ are expressed below as sum of minterms.$f_1 (w, x, y, z) = \sum \: 0, 1, 2, 3, 5, 12$$f_2 (w, x, y, z) = \sum \: 0, 1...
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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 ca...
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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...
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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 $0$, ...
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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 isindependent of one variableindependent of tw...
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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})$$(P+\bar{Q}.\bar...
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GATE CSE 2014 Set 3 | Question: 7
Consider the following minterm expression for $F$:$$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-...
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