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The expression for the truth table given below in POS form is given by:
- a)AB'C + ABC'
- b)(A + B + C')(A' + B' + C')
- c)A'B'C + ABC
- d)(A + B' + C')(A' + B' + C')
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The expression for the truth table given below in POS form is given by...
Minterm:
A minterm is a Boolean expression resulting in 1 for the output of a single cell, and 0s for all other cells in a Karnaugh map, or truth table.
0 is represented by A̅ or A'
1 is represented by A
Maxterm:
A maxterm is a Boolean expression resulting in a 0 for the output of a single cell expression, and 1s for all other cells in the Karnaugh map, or truth table.
0 is represented by A
1 is represented by A̅ or A'
Calculation:
The given Truth Table is:
In POS form we consider only terms with 0 in output.
F = (A + B + C̅)(A̅ + B̅ + C̅)
Hence option (2) is the correct answer.
A minterm is a Boolean expression resulting in 1 for the output of a single cell, and 0s for all other cells in a Karnaugh map, or truth table.
0 is represented by A̅ or A'
1 is represented by A
Maxterm:
A maxterm is a Boolean expression resulting in a 0 for the output of a single cell expression, and 1s for all other cells in the Karnaugh map, or truth table.
0 is represented by A
1 is represented by A̅ or A'
Calculation:
The given Truth Table is:
In POS form we consider only terms with 0 in output.
F = (A + B + C̅)(A̅ + B̅ + C̅)
Hence option (2) is the correct answer.
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