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Draw the truth table for the logical function M for three inputs A, B and C, where M = F (A, B, C). The output is 0 (zero), if the majority of inputs are zero (0) and one (1) if the majority of inputs are one (1). Write the sum of products expression (SOP) for M.

Boolean Algebra

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Answer

ABCOutputMin Terms
0000
0010
0100
0111A'BC
1000
1011AB'C
1101ABC'
1111ABC

SOP expression for F (A, B, C):
A'BC + AB'C + ABC' + ABC

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