Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Which of the following expressions is in the ...
Start Learning for Free
Which of the following expressions is in the Sum-Of-Products (SOP) form?
- a)(A + B)(C + D)
- b)(A)-B (CD)
- c)AB (CD)
- d)AB + CD
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following expressions is in the Sum-Of-Products...
Sum of Product:
SOP is an abbreviation for Sum of Product. Sum of product form is a Boolean algebra statement in which distinct product terms of inputs are added together. This product is not an arithmetic multiply, but rather a Boolean logical AND, with the Sum being a Boolean logical OR.
SOP gives a minterm of a logical expression.
Example:
F= XY+YZ+ XZ
The above expression can be written like,
F= X.Y+Y.Z+ X.Z
F= (X) and (Y) or (Y) and (Z) or (X) and (Z)
In minterms X takes as '1' and X' takes 0 similarly same conventions follow for all variables.
XY= 110 (m6) and 111 (m7)
YZ= 011 (m3) and 111 (m7)
ZX= 101 (m5) and 111 (m7)
Min terms are, F= Σ(3,5,6,7)
Product of sum:
POS is an abbreviation for Product of Sum. Product of sum form is a Boolean algebra statement in which distinct product terms of inputs are multiplied together. This Sum is a Boolean logical OR, with the product being a Boolean logical AND.
POS gives a maxterm of a logical expression.
Example:
F= (X+Y). (Y+Z). (X+Z)
The above expression can be written like,
F= X+Y). (Y+Z). (X+Z)
F= (X) or (Y) and (Y) or (Z) and (X) or (Z)
In max terms X takes as '0' and X' takes '1' similarly same conventions follow for all variables.
X+Y= 000 (M0), 001 (M1)
Y+Z=000 (M0), 100 (M4)
Z+X=000 (M0), 010 (M2)
Max terms are, F= Σ(0, 1, 2,4)
Option 1:(A + B)(C + D)
False, It is in product of sum.
Option 2:(A)-B (CD)
False, It is not in POS and SOP.
Option 3: AB (CD)
False, It is not in POS and SOP.
Option 4: AB + CD
True, It is a correct form Sum of Product. It is Boolean logical AND, with the Sum being a Boolean logical OR.
Hence the correct answer is AB+CD.
SOP is an abbreviation for Sum of Product. Sum of product form is a Boolean algebra statement in which distinct product terms of inputs are added together. This product is not an arithmetic multiply, but rather a Boolean logical AND, with the Sum being a Boolean logical OR.
SOP gives a minterm of a logical expression.
Example:
F= XY+YZ+ XZ
The above expression can be written like,
F= X.Y+Y.Z+ X.Z
F= (X) and (Y) or (Y) and (Z) or (X) and (Z)
In minterms X takes as '1' and X' takes 0 similarly same conventions follow for all variables.
XY= 110 (m6) and 111 (m7)
YZ= 011 (m3) and 111 (m7)
ZX= 101 (m5) and 111 (m7)
Min terms are, F= Σ(3,5,6,7)
Product of sum:
POS is an abbreviation for Product of Sum. Product of sum form is a Boolean algebra statement in which distinct product terms of inputs are multiplied together. This Sum is a Boolean logical OR, with the product being a Boolean logical AND.
POS gives a maxterm of a logical expression.
Example:
F= (X+Y). (Y+Z). (X+Z)
The above expression can be written like,
F= X+Y). (Y+Z). (X+Z)
F= (X) or (Y) and (Y) or (Z) and (X) or (Z)
In max terms X takes as '0' and X' takes '1' similarly same conventions follow for all variables.
X+Y= 000 (M0), 001 (M1)
Y+Z=000 (M0), 100 (M4)
Z+X=000 (M0), 010 (M2)
Max terms are, F= Σ(0, 1, 2,4)
Option 1:(A + B)(C + D)
False, It is in product of sum.
Option 2:(A)-B (CD)
False, It is not in POS and SOP.
Option 3: AB (CD)
False, It is not in POS and SOP.
Option 4: AB + CD
True, It is a correct form Sum of Product. It is Boolean logical AND, with the Sum being a Boolean logical OR.
Hence the correct answer is AB+CD.
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Top Courses for Electronics and Communication Engineering (ECE)View all
Question Description
Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer?.
Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following expressions is in the Sum-Of-Products (SOP) form?a)(A + B)(C + D)b)(A)-B (CD)c)AB (CD)d)AB + CDCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
Best way to Prepare for Electronics and Communication Engineering (ECE)
Learn | Test | Discuss | Repeat
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup