Computer Science
Reduce the following boolean function with the help of Karnaugh's map:
F (a, b, c, d) =Σ (0, 1, 2, 4, 5, 6, 8, 9, 12, 13, 14)
Boolean Algebra
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Answer
From Octet (0,1,4,5,12,13,8,9):
Rows representing the Octet: 1 (Both variables a and b are in opposite form. Hence, they get cancelled.)
Columns representing the Octet: c'd' + c'd = c'
Term Obtained = c'
From quad (0,2,4,6):
Rows representing the quad: a'b' + a'b = a'
Columns representing the quad: c'd' + cd' = d'
Term Obtained = a'd'
From quad (4,6,12,14):
Rows representing the quad: a'b + ab = b
Columns representing the quad: c'd' + cd' = d'
Term Obtained = bd'
Simplified expression = c' + a'd' + bd'
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