help Build truth tables for the following SOP expressions. F = wx + xz + y\' F =

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Build truth tables for the following SOP expressions. F = wx + xz + y' F = w + x + y + z F = w'x'yz + w'xyz + w'x'yz' + w'xyz' Give the SOP and POS expressions for the following truth table. Build the truth table for the output value Z for the following logic circuit. Design a burglar alarm system. The system will have three sensors and an activate feature. The first sensor D will detect door open 0 or door closed 1. The second sensor M will detect motion. For no motion this sensor will give a 0. The last sensor W will detect window opening. A value of 1 from this sensor indicates the window is closed. The activate feature F disable the alarm when its value is 0. The alarm system will have a single output A. When A=0 the alarm is not sounded. The alarm will sound if there is motion, if the window is open, or if the door is open. A disabled alarm will not sound. Design a circuit to implement this function.

Explanation / Answer

2) SOP FORM - A' B' C' + A' B C +A B C

= A' B' C' + BC(A' +A)

= A' B' C' + BC

POS FORM - (SOP)'

(A' B' C' + A' B C +A B C)'

APPLY DE MORGAN'S LAW

(A' B' C')' . (A' B C)' . (A B C)'

= (A+B+C) . ( A +B' +C' ) .( A' +B'+C')

POS FORM - (A' +B' +C' ) (A+B'+C') (A+B+C)

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