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Recent questions tagged prime-implicants

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TEST SERIES
Anyone ?

Rahhul A asked in Digital Logic Jan 2

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vivek1211 asked in Digital Logic Nov 18, 2023

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prime implicant
Determine the prime implicants of the function. F (W,X,Y,Z) = _ m (1,4,6,7,8,9,10,11,15)

yashikaparameshwaran asked in Digital Logic Sep 25, 2023

by yashikaparameshwaran

266 views

2 votes

2 answers

4

Digital Logic, Essential Prime Implicants
The number of essential prime implicants in the function f(a, b, c, d) = Σ(1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15) is ________.

sudiptasamui98 asked in Digital Logic Jun 30, 2023

by sudiptasamui98

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2 votes

1 answer

5

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 $\mathrm{X}^{\prime} \mathrm{Y}^{\prime} \mathrm{Z}^{\prime} \mathrm{T}^{\prime}$ is known to be in the SOP form ... implicant of $F$ is a Prime Implicant. $\mathrm{F}=\mathrm{X} \oplus \mathrm{Y} \oplus \mathrm{Z} \oplus \mathrm{T}$

GO Classes asked in Digital Logic Mar 26, 2023

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Choosing prime implicants in K-maps
I got a K-map with the following boolean function: F(A,B,C,D) = ΠM[3,4,6,9,11,14]+ Σd[0,7,8,10,13,15] In the following K-map following prime-implicants are considered: But I can chose ($\bar{A}$+$\bar{D}$) instead of ($\bar{A}$+$B$) like: So now ... $\bar{C}$+$\bar{D}$)($A$+$C$+$D$) So we get different f in the two cases or am I making a mistake somewhere?

h4kr asked in Digital Logic Dec 28, 2022

by h4kr

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2 votes

3 answers

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GO Classes Test Series 2023 | Digital Logic | Test 2 | Question: 21
A combinational logic circuit takes a $4$-bit unsigned binary integer number at its inputs labeled $\mathrm{D}_{3}, \mathrm{D}_{2}, \mathrm{D}_{1}$ and $\mathrm{D}_{0}$, where $\mathrm{D}_{3}$ is the most ... $0$ otherwise. How many prime implicants does $S$ have which are not essential prime implicants?

GO Classes asked in Digital Logic May 27, 2022

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MADE EASY ELECTRONICS
The number of Essential Prime implicants are ______________.

Hirak asked in Digital Logic May 25, 2019

by Hirak

532 views

1 vote

1 answer

9

ISI2017-PCB-CS-7-b
Define a Boolean function $F(X_1, X_2, X_3, X_4, X_5, X_6)$ of six variables such that $\\ \begin{array}{llll} F & = & 1, & \text{when three or more input variables are at logic 1} \\ { } & = & 0, & \text{otherwise} \end{array} $ How many essential prime implicants does $F$ have? Justify they are essential.

akash.dinkar12 asked in Digital Logic Apr 8, 2019

by akash.dinkar12

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#prime implicants
Let f(x$_{1}$,x$_{2}$,x$_{3}$,………,x$_{10}$)=1 if 5 or more variable equal to one ,then number of prime implicants are in f?

amit166 asked in Digital Logic Jan 11, 2019

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No of Minimal Expression
How many minimal expressions are possible?

smsubham asked in Digital Logic Jan 8, 2019

529 views

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1 answer

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UPPCL AE 2018:4
Recall that an implicant is a product term in the sum of products representation of a Boolean function. A prime implicant is an implicant of minimal size (i.e. an implicant with the fewest literals). Which of the following are $\text{NOT}$ ... $\text{I}$ and $\text{II}$ only $\text{II}$ and $\text{IV}$ only None of the above

admin asked in Digital Logic Jan 5, 2019

by admin

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prime Imp
Consider the function f(P,Q,R,S)=Σ(0,5,7,8,10,13,15) + Σd(1,2,3,9). The number of prime implicants for the function is

Bhupendra asked in Digital Logic Jan 4, 2019

584 views

9 votes

1 answer

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GATE Overflow | Mock GATE | Test 1 | Question: 58
Let $f(A, B, C, D)=\Pi (2, 3, 5, 9, 11, 12, 13)$ The total number of prime implicants and essential prime implicants are denoted by $P$ and $Q$ respectively. What is the value $Q \% P$ where $'\%'$ denotes the modulo operator?

Ruturaj Mohanty asked in Digital Logic Dec 27, 2018

by Ruturaj Mohanty

1.8k views

1 vote

1 answer

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Gateforum Test Series: Digital Logic - Prime Implicants
Clearly, there will be two essential prime implicants. Why answer is 3?

Gupta731 asked in Digital Logic Nov 6, 2018

598 views

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Recent questions tagged prime-implicants