Reference no: EM133895969
Mathematics for Computer Studies
Question 1. Consider the following input/output table then do part a to c:
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x
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y
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z
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Output
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0
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0
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0
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0
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0
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0
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1
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1
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0
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1
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0
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0
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0
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1
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1
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0
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1
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0
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0
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0
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1
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0
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1
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1
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1
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1
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0
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1
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1
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1
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1
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0
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a) What is the sum of product Boolean expression for this table?
b) Create the circuit diagram for this expression.
c) Use K-Map to simplify the expression.
d) Create the circuit diagram for the simplified expression.
Question 2. Create the truth table (input/output table) for each Boolean expression:
a) A‾ + B‾ + C
b) A(B + AC + A‾)
Question 3. Find the sum of product for each input/output table:
a)
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P
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Q
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R
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Output
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0
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0
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0
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0
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0
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0
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1
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0
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0
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1
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0
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1
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0
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1
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1
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0
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1
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0
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0
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1
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1
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0
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1
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0
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1
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1
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0
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0
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1
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1
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1
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1
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b)
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P
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Q
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R
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Output
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0
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0
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0
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1
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0
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0
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1
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0
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0
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1
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0
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0
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0
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1
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1
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1
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1
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0
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0
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0
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1
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0
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1
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0
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1
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1
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0
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0
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1
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1
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1
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1
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Question 4. (1) Find the simplified version of each Karnaugh map (K-map) and then (2) create circuit diagram for each of them?
Question 5. For each diagram 1 & 2 if the input signals are as indicated.
a) Find the output signal for each.
b) Write an input/output table for the circuit. Get online assignment help to achieve academic success!
c) Find the Boolean expression that corresponds to the circuit.
Input Signals: A = 1, B = 0, C = 0
Input Signals: A = 0, B = 0, C = 1