Digital Logic - Logic functions & Minimization

6:  

Which of the following statements is true ?

A. (A + B) (A + C) = AC + BC
B. (A + B) (A + C) = AB + C
C. (A + B) (A + C) = A + BC
D. (A + B) (A + C)= AC + B
 
 

Option: C

Explanation :

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7:  

 The minimal cover for the maimal compatibility classes {ae, acd, ad, bd} is

A. ae, acd, ad '
B. acd, ad, bd
C. ae, acd, bd
D. ae, ad, bd
 
 

Option: D

Explanation :

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8:  

Which of the following expression remove hazard from : xy + zx ' ?

A.

xy + zx '

B.

xy + zx '  + wyz

C.

xy + zx' + yz

D.

xy + zx' + wz

 
 

Option: C

Explanation :

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kumkum priya said: (1:32am on Thursday 3rd August 2017)
Explanation which of following expression remove Harvard from xy z x'

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9:  

 What is the form of the boolean expressions AB+ B'C' =Y?

A.

Product-of-sums

B.

Sum-of-products

C.

Karnaugh map

D.

Matrix

 
 

Option: B

Explanation :

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10:  

How many boolean functions of three variables f(x, y, z) have the property that f(x, y, z) = (f(x, y, z)) ?

A. 8
B. 6
C. 64
D. 26
 
 

Option: B

Explanation :

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Syllabus covered in this section is-

  • Logic functions, Minimization,
  • Design and synthesis of combinational and sequential circuits
  • Number representation and computer arithmetic (fixed and floating point)
  • Propositional (Boolean) Logic
  • Satisfiability and Tautology
  • Logic Families: TTL, ECL and C-MOS gates.
  • Boolean algebra and Minimization of Boolean functions
  • Flip-flops-types, race condition and comparison.
  • Design of combinational and sequential Circuits
  • Representation of Integers: Octal, Hex. Decimal and Binary.
  •  2's complement and 1 's complement arithmetic
  • Floating point representation.

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