(b) Given a Boolean expression below, you are required to construct a corresponding circuit that with the most minimal cost possible. x = (A + B)(B + Ac + D) Please include the circuit and cost required for your design. Assuming the cost of each gate is of the following: Two input AND Gate = RM 4 Example: if your answer consist of one AND gate, one NOT gate and two NAND gate, your cost will be Two input OR Gate = RM 3 One input NOT Gate = RM 2 (1×RM4)+(1×RM2)+(2×RM2) = RM10 Two input NAND Gate = RM 2

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(b) Given a Boolean expression below, you are required to construct a corresponding circuit
that with the most minimal cost possible.
X = (A+ B)(B + AC + D)
Please include the circuit and cost required for your design.
Assuming the cost of each gate is of the following:
Two input AND Gate = RM 4
Example: if your answer consist of
ne AND gate, one NOT gate and two
Two input OR Gate = RM 3
NAND gate, your cost will be
One input NOT Gate = RM 2
(1KRM4)+(1×RM2)+(2×RM2) = RM10
Two input NAND Gate = RM 2
Two input NOR Gate = RM 5
Transcribed Image Text:(b) Given a Boolean expression below, you are required to construct a corresponding circuit that with the most minimal cost possible. X = (A+ B)(B + AC + D) Please include the circuit and cost required for your design. Assuming the cost of each gate is of the following: Two input AND Gate = RM 4 Example: if your answer consist of ne AND gate, one NOT gate and two Two input OR Gate = RM 3 NAND gate, your cost will be One input NOT Gate = RM 2 (1KRM4)+(1×RM2)+(2×RM2) = RM10 Two input NAND Gate = RM 2 Two input NOR Gate = RM 5
(a) The Alarm of a Jewellery Store will be ACTIVATED when either one condition happens
(i)
Both Doors are UNLOCKED
(ii)
Window is BROKEN
Build a Logic Cireuit that fulfils the stated requirement. Refer Figure Q1(a)
Input
Doors
Unlocked
Door 2
1 & 2
Locked
1
Not broken
Window
Broken
Output
Not
Window
Door 1
Alarm
Activated
Activated
Figure Q1(a): Alarm System
The answer must include a truth table, its corresponding Boolean Expression, and the Logic circuit.
Transcribed Image Text:(a) The Alarm of a Jewellery Store will be ACTIVATED when either one condition happens (i) Both Doors are UNLOCKED (ii) Window is BROKEN Build a Logic Cireuit that fulfils the stated requirement. Refer Figure Q1(a) Input Doors Unlocked Door 2 1 & 2 Locked 1 Not broken Window Broken Output Not Window Door 1 Alarm Activated Activated Figure Q1(a): Alarm System The answer must include a truth table, its corresponding Boolean Expression, and the Logic circuit.
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