Logic Equation Y: The truth table A 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 Input B 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 C D 0 0 0 1 1 Workshop 03 Combinational Digital Circuit Design Y = f(A, B, C, D) = m(1,2,3,5,6,7,9,11,13) 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 The standard SOP: 0 1 Output Y Product Term (minterm) Sum Term (Maxterm)

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Logic Equation Y:
The truth table
A
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
Input
B
0
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
с
0
Workshop 03
Combinational Digital Circuit Design
Y = f(A, B, C, D) = m(1,2,3,5,6,7,9,11,13)
0
1
1
0
0
1
1
0 0
0
1
1
0
1
1
D
0
1
0
The standard SOP:
1 1
0
0
0
1
0
1
1
0
1
0
1
Output
Y
Product Term
(minterm)
Sum Term
(Maxterm)
Transcribed Image Text:Logic Equation Y: The truth table A 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 Input B 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 с 0 Workshop 03 Combinational Digital Circuit Design Y = f(A, B, C, D) = m(1,2,3,5,6,7,9,11,13) 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 D 0 1 0 The standard SOP: 1 1 0 0 0 1 0 1 1 0 1 0 1 Output Y Product Term (minterm) Sum Term (Maxterm)
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Follow-up Question
The minimum SOP: (using Karnaugh's Map)
Transcribed Image Text:The minimum SOP: (using Karnaugh's Map)
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Follow-up Question
The logic circuit: (From minimum SOP)
Number of gates used in the circuit:
2-Input AND gate..
2-Input OR gate.
NOT gate
Number of idle gates in the chip:
2-Input AND gate
2-Input OR gate...
NOT gute
The logic circuit: (From minimum POS)
gates
gates
gates
gates
gutes
Number of gates used in the circuit:
2-Input AND gate
2-Input OR gate...
NOT gate
Number of idle gates in the chip:
2-Input AND gate...
2-Input OR gate,
NOT gate,
IC name:
IC name:
IC name:
gates IC name:
gates IC name:
gates
IC name:
gates
gates
gates
Transcribed Image Text:The logic circuit: (From minimum SOP) Number of gates used in the circuit: 2-Input AND gate.. 2-Input OR gate. NOT gate Number of idle gates in the chip: 2-Input AND gate 2-Input OR gate... NOT gute The logic circuit: (From minimum POS) gates gates gates gates gutes Number of gates used in the circuit: 2-Input AND gate 2-Input OR gate... NOT gate Number of idle gates in the chip: 2-Input AND gate... 2-Input OR gate, NOT gate, IC name: IC name: IC name: gates IC name: gates IC name: gates IC name: gates gates gates
Solution
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Follow-up Question
The minimum POS: (using Karnaugh's Map)
Transcribed Image Text:The minimum POS: (using Karnaugh's Map)
Solution
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SEE SOLUTION
Follow-up Question
The standard POS:
The minimum SOP: (using Boolean Algebra)
Transcribed Image Text:The standard POS: The minimum SOP: (using Boolean Algebra)
Solution
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