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Minimize the following expression using K-map also Implement the circuit using minimum number of gates.
written 7.3 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 7.3 years ago

$Y = ∑ m(1,2,9,10,14,15)$

Subject: Logic Design

Topic: BOOLEAN ALGEBRA AND LOGIC GATES

Difficulty: Medium
digital logic design
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written 7.3 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 7.2 years ago

enter image description here

Minimised Expression

$Y = \overline{B}\hspace{0.1cm}\overline{C}D + \overline{B}C\overline{D}+AC$

$= \overline{B} \underbrace{(\overline{C}D+C\overline{D})} + AC$

$\hspace{1cm} EX-OR \hspace{0.2cm} gate$

$Y = \overline{B}(C \otimes D)+AC$

enter image description here
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