Q4/ A bank vault has three locks with a different key for each lock. Each key is owned by a different person. To open the door, at least two people must insert their keys into the assigned locks. The signal lines A, B and C are 1 if there is a key inserted into lock 1,2,or 3, respectively. Write a logic function F (A,B,C) which is 1 if the door should open. 1. Express F as: a- a minterm expansion b- a maxterm expansion 2. simplify F using K-map then express F as: a- SOP form b- POS form 3. implement the logic circuit using: a- any gates b- NAND gates only c- NOR gates only d- Multiplexer e- Demultiplexer

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Q4/ A bank vault has three locks with a different key for each lock. Each key is owned by a
different person. To open the door, at least two people must insert their keys into the assigned
locks. The signal lines A, B and C are 1 if there is a key inserted into lock 1,2,or 3, respectively.
Write a logic function F (A,B,C) which is 1 if the door should open.
1. Express F as:
a- a minterm expansion
b- a maxterm expansion
2. simplify F using K-map then express F as:
a- SOP form
b- POS form
3. implement the logic circuit using:
a- any gates
b- NAND gates only
c- NOR gates only
d- Multiplexer
e- Demultiplexer
Transcribed Image Text:Q4/ A bank vault has three locks with a different key for each lock. Each key is owned by a different person. To open the door, at least two people must insert their keys into the assigned locks. The signal lines A, B and C are 1 if there is a key inserted into lock 1,2,or 3, respectively. Write a logic function F (A,B,C) which is 1 if the door should open. 1. Express F as: a- a minterm expansion b- a maxterm expansion 2. simplify F using K-map then express F as: a- SOP form b- POS form 3. implement the logic circuit using: a- any gates b- NAND gates only c- NOR gates only d- Multiplexer e- Demultiplexer
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