Implicants MCQ Quiz - Objective Question with Answer for Implicants - Download Free PDF

Last updated on Apr 11, 2025

Latest Implicants MCQ Objective Questions

Top Implicants MCQ Objective Questions

Implicants Question 1:

Let X = X1X0 and Y = Y1Y0 be unsigned 2-bit numbers. The function F = 1 if X > Y and F = 0 otherwise. The minimized sum of products expression for F is

  1. Y1Y0 + X0Y0 + X̅101
  2. X01 + Y10 + X1X0
  3. Y11 + Y010 + Y1Y00
  4. X11 + X001 + X0X10

Answer (Detailed Solution Below)

Option 4 : X11 + X001 + X0X10

Implicants Question 1 Detailed Solution

F = 1, X > Y

= 0, otherwise

X

Y

F

X1

X2

Y1

Y2

 

0

0

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0

 

F(X1X0Y1Y0)=(m4,m8,m9,m12,m13,m14)

GATE EE Digital Electrronics 1 Madhu images Q5

F = X11 + X1X00 + X010

Implicants Question 2:

Given that m denotes minterm and M denotes maxterm. If f(x, y, z) = ∑(m0, m2, m7).

Which of the following statements are correct?

1. f(x,y,z)=π(M0,M2,M7)

2. f(x,y,z)=(m0,m2,m7)

3. f(x,y,z)=π(M1,M3,M4,M5,M6)

4. f(x,y,z)=(m1,m3,m4,m5,m6)

Select the correct answer using the code given below

  1. 2 and 3
  2. 3 and 4
  3. 1 and 2
  4. 1 and 4

Answer (Detailed Solution Below)

Option 4 : 1 and 4

Implicants Question 2 Detailed Solution

Given function is

f(x,y,z)=(m0,m2,m7)

The given function is in sum of min terms. We can write this in the form of product of max terms.

f(x, y, z) = π(M1, M3, M4, M5, M6)

We can write the complement function as a sum of min terms is equal to sum of min terms missing in the original function.

f(x,y,z)=(m1,m3,m4,m5,m6)

We can write the complement function as a product of max terms is equal to product of max terms missing in the original function.

f(x,y,z)=π(M0,M2,M7)

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