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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

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(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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