Purpose: The goal of this lab is to apply logic simplification for a practical application. You need to simplify the circuit considering that there are multiple outputs. In other words, you should not only try to optimize the circuit corresponding to each individual output, but simplify the overall design. Procedure: The circuit has 4 inputs (b₁, b2, and also d, and d2) and 4 outputs. The truth table (only a few of the rows are presented below) is as follows: d₁ d₂ b₁ Multiplication Result 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 b₂ 0 1 1 0 0 1 0000 0000 0001 0010 0110 1001 The logic circuit design should be made with AND, OR, and NOT gates only. You should try to minimize the total number of logic gates being used in your design. Prelab: 1. Create the truth table that corresponds to the overall design (with 4 inputs and 4 outputs). 2. Apply the K-maps for the simplification. 3. A drawing of the logic circuit with only the AND, OR, NOT gates.

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Purpose:
The goal of this lab is to apply logic simplification for a practical application. You need to simplify the
circuit considering that there are multiple outputs. In other words, you should not only try to optimize the
circuit corresponding to each individual output, but simplify the overall design.
Procedure:
The circuit has 4 inputs (b₁,b2, and also di and d₂) and 4 outputs. The truth table (only a few of the rows are
presented below) is as follows:
d₁
d₂
b₁
Multiplication Result
0
0
0
0
1
1
0
0
1
1
1
1
0
0
0
1
1
1
b₂
0
1
1
0
0
1
0000
0000
0001
0010
0110
1001
The logic circuit design should be made with AND, OR, and NOT gates only.
You should try to minimize the total number of logic gates being used in your design.
Prelab:
1. Create the truth table that corresponds to the overall design (with 4 inputs and 4 outputs).
2. Apply the K-maps for the simplification.
3. A drawing of the logic circuit with only the AND, OR, NOT gates.
Transcribed Image Text:Purpose: The goal of this lab is to apply logic simplification for a practical application. You need to simplify the circuit considering that there are multiple outputs. In other words, you should not only try to optimize the circuit corresponding to each individual output, but simplify the overall design. Procedure: The circuit has 4 inputs (b₁,b2, and also di and d₂) and 4 outputs. The truth table (only a few of the rows are presented below) is as follows: d₁ d₂ b₁ Multiplication Result 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 b₂ 0 1 1 0 0 1 0000 0000 0001 0010 0110 1001 The logic circuit design should be made with AND, OR, and NOT gates only. You should try to minimize the total number of logic gates being used in your design. Prelab: 1. Create the truth table that corresponds to the overall design (with 4 inputs and 4 outputs). 2. Apply the K-maps for the simplification. 3. A drawing of the logic circuit with only the AND, OR, NOT gates.
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