Consider the following canonical form of a Boolean function F(W ,X ,Y ,Z) F(W ,X,Y, Z)-(1,3,4,5,6,7,12,14) Task 2.1: What does the numbers in the brackets represent? Task 2.2: Create a truth table to represent F(W ,X,Y, Z) . Task 2.3: Map the 1's in the truth table in task 2.2 in a K-map. Task 2.4: Group 1's to find the minimum number of literals SOP format of F(W ,X,Y, Z) . Write down the function below. F(W ,X,Y, Z) = Task 2.5: Group O's to find the minimum number of literals SOP format of the complement of F(W ,X,Y, Z) . Write down the function below. F'(W ,X,Y,Z) =

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Please show each Task clearly
Consider the following canonical form of a Boolean function F(W ,X ,Y ,Z)
E(W ,X,Y, Z)-E(1,3,4,5,6,7,12,14)
Task 2.1: What does the numbers in the brackets represent?
Task 2.2: Create a truth table to represent F(W ,X,Y, Z) .
Task 2.3: Map the 1's in the truth table in task 2.2 in a K-map.
Task 2.4: Group 1's to find the minimum number of literals SOP format of
F(W ,X,Y, Z). Write down the function below.
F(W ,X,Y, Z) =
Task 2.5: Group 0's to find the minimum number of literals SOP format of the
complement of F(W ,X,Y, Z) . Write down the function below.
F'(W ,X,Y,Z) =
Task 2.6: From the complement function, F'(W ,X,Y ,Z), which has been obtained
in Task 2.5, using De Morgan's theorem, find (F'):
F(W ,X,Y, Z) = (F')=
Transcribed Image Text:Consider the following canonical form of a Boolean function F(W ,X ,Y ,Z) E(W ,X,Y, Z)-E(1,3,4,5,6,7,12,14) Task 2.1: What does the numbers in the brackets represent? Task 2.2: Create a truth table to represent F(W ,X,Y, Z) . Task 2.3: Map the 1's in the truth table in task 2.2 in a K-map. Task 2.4: Group 1's to find the minimum number of literals SOP format of F(W ,X,Y, Z). Write down the function below. F(W ,X,Y, Z) = Task 2.5: Group 0's to find the minimum number of literals SOP format of the complement of F(W ,X,Y, Z) . Write down the function below. F'(W ,X,Y,Z) = Task 2.6: From the complement function, F'(W ,X,Y ,Z), which has been obtained in Task 2.5, using De Morgan's theorem, find (F'): F(W ,X,Y, Z) = (F')=
Task 2.7: In which form is F(W ,X,Y, Z) in Task 2.6?
Simulation:
Sim 2.1: In Logisim, simulate F(W ,X,Y,Z) found in Task 2.4 using the IC library
IC_V8 only.
Sim 2.2: Verify that the result of the simulation in Sim 2.1 corresponds to
F(W ,X,Y, Z)=Z(1,3,4,5,6,7,12,14)
Sim 2.3: Keeping the inputs of Sim 2.1, simulate F(W ,X,Y, Z) found in Task 2.7
using the IC library IC_V8 only.
Sim 2.4: Verify that the result of the simulation in Sim 2.3 corresponds to the result of the
simulation in Sim 2.1
Transcribed Image Text:Task 2.7: In which form is F(W ,X,Y, Z) in Task 2.6? Simulation: Sim 2.1: In Logisim, simulate F(W ,X,Y,Z) found in Task 2.4 using the IC library IC_V8 only. Sim 2.2: Verify that the result of the simulation in Sim 2.1 corresponds to F(W ,X,Y, Z)=Z(1,3,4,5,6,7,12,14) Sim 2.3: Keeping the inputs of Sim 2.1, simulate F(W ,X,Y, Z) found in Task 2.7 using the IC library IC_V8 only. Sim 2.4: Verify that the result of the simulation in Sim 2.3 corresponds to the result of the simulation in Sim 2.1
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