# Minimization Techniques – Exercise – 1

Exercise – 1

1. The Boolean expression

$\dpi{80} Y=\bar{A}\bar{B}\bar{C}D+\bar{A}BC\bar{D}+A\bar{B}\bar{C}D+AB\bar{C}\bar{D}$can be minimised to :

(a)  A’B’C’D+A’BC’+AC’D
(b)  A’B’C’D+BCD’+AB’C’D
(c)  A’BCD’+B’C’D+AB’C’D
(d)  A’BCD’+B’C’D+ABC’D’

Explanation
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2. In which function is each term known as min term :

(a)  SOP
(b)  POS
(c)  Hybrid
(d)  both SOP and POS

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3. A karnaugh map with 4 variables has :

(a) 2 cells
(b) 4 cells
(c) 8 cells
(d) 16 cells

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4. In a karnaugh map for an expression having ‘don’t care terms’ the don’t cares can be treated as :

(a) 0
(b) 1
(c) 1 or 0
(d) none of above

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5. The function Y=AC+BD+EF is :

(a)  POS
(b)  SOP
(c)  Hybrid
(d)  None of above

Explanation
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