Simplification using K-Map Digital Logic and Computer Design by Ravinder Nath Rajotiya - September 12, 2023September 12, 20230 Share on Facebook Share Send email Mail Print Print Table of Contents Toggle K-MapDraw 2-Variable K-MapDraw 3-Variable K-MapDraw 4-Variable K-MapSimplification Using K-MapSimplifying 2-Variable SOP equationSimplifying 3-Variable SOP equationSimplifying 4-Variable SOP EquationPractice Problem: K-Map A K-Map is a pictorial representation of the Boolean expression. By entering the values of the minterm or Maxterm an SOP or POS equation can be very easily simplified. It is very easy tool for simplifying up to 5-variable Boolean equation, but as the variable increases, solution become tedious. To begin, we will learn how to draw a 2, 3 and 4 variable K-Map. Draw 2-Variable K-Map Figure-1 Draw 3-Variable K-Map Figure-2 Draw 4-Variable K-Map Simplification Using K-Map Simplifying 2-Variable SOP equation Ex-1: Simplifying F= A’B + AB Figure-4 Ex-2: Simplify A’B + AB + AB’ Figure-5 Simplifying 3-Variable SOP equation Ex-3: Figure-6 Ex-4 Figure-7 Simplifying 4-Variable SOP Equation Ex-5 Simplify F(ABCD)=∑(m1, m3, m5, m7, m9, m10,m13, m15) Figure-8 Ans: D Practice Problem: Simplify F= A’B’+A’B+AB’ Simplify F(WXY)=∑m(1,2,3,5,7) Simplify F(ABC)=∑m(2,3,4,5 ) Simplify F(ABC)=∑m(2,3,7) + d(1,5) Simplify F(ABCD)=∑m(2,3,5,7,10,15)+d(0, 4,9,13) Share on Facebook Share Send email Mail Print Print