In a home security system, the main door (O) of home is controlled by a logic operation with the help of RFID card. the Owner, Mrs. Owner, Security Guard and Guest have a designated RFID card - Owner with card W, Mrs. Owner with card X, security guard with card Y and guest with card Z. Whenever, any of the card is NOT inserted, Door remains Closed; when, all the cards are inserted together, the Door is opened. Consider, card NOT inserted as Logic Low (0), card inserted as High Logic (1), door open as Low Logic (0) and door close means High Logic (1). (i) Identify the logic based on the problem statement (ii) Develop the truth table (W, X, Y & Z – inputs, O – output) (iii) Find the Standard SOP and Standard POS expression (iv) Find the Simplified SOP expression using KMAP. (v) Design the system using basic logic gate.
In a home security system, the main door (O) of home is controlled by a logic operation with the help
of RFID card. the Owner, Mrs. Owner, Security Guard and Guest have a designated RFID card - Owner
with card W, Mrs. Owner with card X, security guard with card Y and guest with card Z. Whenever,
any of the card is NOT inserted, Door remains Closed; when, all the cards are inserted together, the
Door is opened. Consider, card NOT inserted as Logic Low (0), card inserted as High Logic (1),
door open as Low Logic (0) and door close means High Logic (1).
(i) Identify the logic based on the problem statement
(ii) Develop the truth table (W, X, Y & Z – inputs, O – output)
(iii) Find the Standard SOP and Standard POS expression
(iv) Find the Simplified SOP expression using KMAP.
(v) Design the system using basic logic gate.
Based on the given condition the logic function, Truth table, standard SOP and POS, Simplified Boolean expression using KMAP and the logic circuit need to be obtained.
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