Consider the following logic statement for a smart home security system the alarm will sound if it is night time this is motion detected, the doors are locked, and no authorised person is present or if an energency signal is figgered at any time assumeing the crrosponding literds are it is night time motion is detected the doors are locked an authorised person is an emergency signal is friggred Q 1 what the boolean expression that represents when the alarm will sound based on the given statement Q 2 convert the boolean expression to it's sum of product form Q 3 convert the boolean expression to it's product of sum form Q 4 simplify both, the sopand pos using boolean algebra, if possible Q 5 simplify both, the sopand pos using boolean k map, if possible Q 6 create a truth table that represent's all possible scenirious for assumed literals and verify the correctness of the sop pos forms Q 7 explain the difference between sop pos forms of practical implementation in a digital circuit

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Question: Consider the following logic statement for a smart home security system: the alarm will sound if it is night time. this is motion detected, the

Consider the following logic statement for a smart home security system:

the alarm will sound if it is night time. this is motion detected, the doors are locked, and no authorised person is present or if an energency signal is figgered at any time assumeing the crrosponding literds are

# it is night time

# motion is detected

# the doors are locked

# an authorised person is an emergency signal is friggred

1

: what the boolean expression that represents when the alarm will sound based on the given statement

2

: convert the boolean expression to it's sum of product form.

3 .

convert the boolean expression to it's product of sum form.

4 .

simplify both, the sopand pos using boolean algebra, if possible.

5 .

simplify both, the sopand pos using boolean k

-

map, if possible.

6 .

create a truth table that represent's all possible scenirious for assumed literals and verify the correctness of the sop & pos forms.

7 .

explain the difference between sop & pos forms of practical implementation in a digital circuit.

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