Discussion: 1) What are the different methods to obtain minimal expression? 2) Realize ICA B.C.D) =E(0.1.2.3.4. 5.6.7.89.10) and show the truthtables

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Alamarah University College
Medical Instruments Jechniques fngineering
Digital legic lab.
EXP. 6: Simplification of Boolean expressions
Objective:
1- Study K-maps with 2, 3 and 4 inputs.
2- Simplify Boolean logic equations by using K-maps.
COMPONENTS REQUIRED:
1. Logic gates.
2. Lodic converter.
Theory:
Simplifying two-input Boolean functions
Simplify the following Boolean expression using a k-map of size 2x2.
X= (A. B) + A’' (A+B)
0 1
1
Draw the simplified and the original Boolean expression using multisim and make
sure that they are booth equivalent by filling-in the following truth table.
X
В
X(Simplified)
(original)
1
1
1
1
30
A
Transcribed Image Text:Alamarah University College Medical Instruments Jechniques fngineering Digital legic lab. EXP. 6: Simplification of Boolean expressions Objective: 1- Study K-maps with 2, 3 and 4 inputs. 2- Simplify Boolean logic equations by using K-maps. COMPONENTS REQUIRED: 1. Logic gates. 2. Lodic converter. Theory: Simplifying two-input Boolean functions Simplify the following Boolean expression using a k-map of size 2x2. X= (A. B) + A’' (A+B) 0 1 1 Draw the simplified and the original Boolean expression using multisim and make sure that they are booth equivalent by filling-in the following truth table. X В X(Simplified) (original) 1 1 1 1 30 A
Alamarah Vniversity College
Medical Instruments Jechniques Engineering
Digital logic lab.
1
Simplifying three-input Boolean functions
00
01
11
Simplify the following Boolean expression
10
X = (A+C')+ C (C.A’ + (B.A) +C)
Draw the simplified Boolean expression using multisim. Find out the truth table of
the circuit
A
В
C
1
1
1
1
1
1
1
1
1
1
1
1
Discussion:
1) What are the different methods to obtain minimal expression?
2) Realize I(A,B,C,D) =E(0,1,2,3,4,5,6,7,8,9,10) and show the truthtables.
3) What is a Min term and Max term
4) State the difference between SOP and POS.
5) What is meant by canonical representation?
6) What is K-map? Why is it used?
7) What are universal gates?
31
Transcribed Image Text:Alamarah Vniversity College Medical Instruments Jechniques Engineering Digital logic lab. 1 Simplifying three-input Boolean functions 00 01 11 Simplify the following Boolean expression 10 X = (A+C')+ C (C.A’ + (B.A) +C) Draw the simplified Boolean expression using multisim. Find out the truth table of the circuit A В C 1 1 1 1 1 1 1 1 1 1 1 1 Discussion: 1) What are the different methods to obtain minimal expression? 2) Realize I(A,B,C,D) =E(0,1,2,3,4,5,6,7,8,9,10) and show the truthtables. 3) What is a Min term and Max term 4) State the difference between SOP and POS. 5) What is meant by canonical representation? 6) What is K-map? Why is it used? 7) What are universal gates? 31
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