1. ACOE101: Freshman Computer Engineering Fall 2018
Assignment #2: Digital Circuits
Date Due: 15/01/2019
Student’s Name:
Student ID:
Grade Q1 Q2 Q3 Q4 Q5
Total
ACOE101 - Fall2018

2. Q1: Draw the logic diagrams for the following expressions :
The decimal system needs ten distinct symblos or states0 to 9. This can not be supported by digital electronics.
ACOE101 - Fall2018
Costas Kyriacou

3. Q2: Find the truth table, expression and SoP for the following circuit:
ACOE101 - Fall2018
Costas Kyriacou

4. Q3: Find the truth table, expression and SoP for the following circuit:
ACOE101 - Fall2018
Costas Kyriacou

5. Q4: Fill up the truth table and timing diagram for the circuit below:
The decimal system needs ten distinct symblos or states0 to 9. This can not be supported by digital electronics.
ACOE101 - Fall2018
Costas Kyriacou

6. Question 5: Multi-output circuits (2-bit Multiplier)
Design a 4-input (A,B,C,D) digital circuit that will give at its output a binary number equal to the product of the binary numbers formed by the inputs (AB) and (CD). A B C D
2-bit Multiplier
S3S2S1S0 = (A1A0) x (B1B0) A1 A0 B1 B0 S3 S2 S1 S0 X Y W Z
ACOE101 - Fall2018

7. Question 5: 2-bit Multiplier (Truth table and K-maps)C D X Y W Z 1
X = Σ(.. CD AB 00 01 11 10
Y = Σ(.. CD AB 00 01 11 10
W = Σ(.. CD AB 00 01 11 10
Z = Σ(.. CD AB 00 01 11 10
ACOE101 - Fall2018

8. Question 5: 2-bit Multiplier (Logic Expressions and Circuit Diagram)
ACOE101 - Fall2018
Costas Kyriacou