Question
find ANSWERS FOR 3 ,4, AND 5 (b) List of gates Type of gates Number of given gates Number of unused gates Inverter 4 0
find ANSWERS FOR 3 ,4, AND 5
(b) List of gates
Type of gates | Number of given gates | Number of unused gates |
Inverter | 4 | 0 |
2-input AND | 4 | 1 |
3-input AND | 4 | 1 |
2-input OR | 4 | 0 |
3-input OR | 4 | 2 |
(c) Record the simulation results in the following table.
Inputs | Simulation results | |||||
A B C D | EQ1 | EQ2 | EQ3 | EQ4 | EQ5 | EQ6 |
0 0 0 0 | 1 | 1 | 1 | 1 | 1 | 1 |
0 0 0 1 | 1 | 1 | 1 | 1 | 1 | 1 |
0 0 1 0 | 1 | 1 | 1 | 1 | 1 | 1 |
0 0 1 1 | 1 | 1 | 1 | 1 | 1 | 1 |
0 1 0 0 | 1 | 1 | 1 | 1 | 1 | 1 |
0 1 0 1 | 1 | 1 | 1 | 1 | 1 | 1 |
0 1 1 0 | 1 | 1 | 1 | 1 | 1 | 1 |
0 1 1 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 0 0 0 | 1 | 1 | 1 | 1 | 1 | 1 |
1 0 0 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 0 1 0 | 1 | 1 | 1 | 1 | 1 | 1 |
1 0 1 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 1 0 0 | 1 | 1 | 1 | 1 | 1 | 1 |
1 1 0 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 1 1 0 | 1 | 1 | 1 | 1 | 1 | 1 |
1 1 1 1 | 1 | 1 | 1 | 1 | 1 | 12 |
2. List the simplest POS expressions for G1 and G2 and the simplest SOP expressions for G3 and G4 obtained from the circuit in step 1 in the following table.
Use A, B, C, and D for your expressions. Do not use /A, /B, /A. and /D.
Simplest POS for G1 | (A+C+D)(A+C+D)(B+D) |
Simplest POS for G2 | (A+D)(A+C+D)(B) |
Simplest SOP for G3 | BD+ACD |
Simplest SOP for G4 | AD+ABCD+CD |
Show how to get the simplest SOP for G4 below.
(Hint: Use the Sandwich algorithm to convert POS to SOP)
(D+AB)(A+C+D)(A+C+D)
(D+ABC)(AC+D)
AD+ABCD+CD
Obtain the maxterm lists of G1 and G2 and the minterm lists of G3 and G4 obtained from step 2 in the following table.
Maxterm list of G1 | p M ( S m ( |
Maxterm list of G2 | p M ( |
Minterm list of G3 | S m ( |
Minterm list of G4 | S m ( |
Show the detailed work of Step 3 below or no credits.
List the minterm lists of G1, G2, G5 and G6 obtained from step 3 in the following table.
Minterm list of G1 | S m ( |
Minterm list of G2 | S m ( |
Minterm list of G5 | S m ( |
Minterm list of G6 | S m ( |
List the minterm and maxterm lists of G1 to G6 in the following table if AB = 01 (A = 0 AND B = 1) never occurs.
G1 | S m ( |
p M ( | |
G2 | S m ( |
p M ( | |
G3 | S m ( |
p M ( | |
G4 | S m ( |
p M ( | |
G5 | S m ( |
p M ( | |
G6 | S m ( |
p M ( |
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