Daffodil International University
Daffodil Smart City, Dhaka
Department of Computer Science and Engineering
Course Assignment Matrix
Semester: Fall 2024
Course Code: CSE223
Section: 64_K
Course Teacher: Nishat Tasnim
Course Title: Digital Logic Design
Question:
A company has a security system for monitoring the state of three key components:
 M: Motion Detector (1 if motion is detected, 0 otherwise)
 D: Door Sensor (1 if the door is open, 0 otherwise)
 W: Window Sensor (1 if the window is open, 0 otherwise)
The security alarm A should activate (1) under the following conditions:
 A = 1 if motion is detected while both the door and window are closed.
 A = 1 if the door is open while there is no motion and the window is closed.
 A = 1 if the window is open while there is no motion and the door is closed.
Q1. Build a truth table for the alarm system based on the given conditions.
The inputs are: M (Motion), D (Door), and W (Window).
The output is: A (Alarm).
Q2. From the truth table, write down the Canonical Sum of Products (SOP) and Product of Sum (POS)
expression for the alarm system
Q3. Simplify the Boolean expression using a Karnaugh Map (K-map) to obtain the minimized form of
the alarm function A(M,D,W).
Q4. Using the simplified Boolean expression from the K-map, design the logic circuit to implement the
alarm system.
After completing the circuit, explain the logic behind the working of your alarm system and why the
simplified version is optimal.
1
2
3
3
Building The Truth table
Forming the Canonical and Standard Normal form expression
Circuit design of simplified expressions
Findings/Solution
Marks: 1
Marks: 2
Marks: 1
Marks: 1
CO3, CO4
Matrix Sample:
SL
1.
2.
3.
Student ID
Relevant
Knowledge
(1)
Defining
Problem
Statement
(1)
Use of
appropriate
method/formula
(2)
Findings/
Solution
(1)
Total
Marks
(5.0)