Computer Science
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
| A | B | C | Output | Min Terms |
|---|---|---|---|---|
| 0 | 0 | 0 | 0 | |
| 0 | 0 | 1 | 0 | |
| 0 | 1 | 0 | 0 | |
| 0 | 1 | 1 | 1 | A'BC |
| 1 | 0 | 0 | 0 | |
| 1 | 0 | 1 | 1 | AB'C |
| 1 | 1 | 0 | 1 | ABC' |
| 1 | 1 | 1 | 1 | ABC |
SOP expression for F (A, B, C):
A'BC + AB'C + ABC' + ABC
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