VIPSolutionsIN STEP 1 GIVE THE INTRODUCTION OF THE CONCEPT AND GIVE ANSWER FOR EACH PART OF THE QUESTION IN EACH DIFFERENT STEP WITH CLEAR EXPLANATION AND IN THE FINAL STEP GIVE THE WHOLE FINAL ANSWER IN JUST VERY FEW SENTENCES AND MOREOVER I NEED COMPLETE AND CLEAR ANSWER at last explain what we did in each step in just few sentencesProglem 2 (CLO:1.04 & 3.01)(10 score) Progam the logic table in figure 1 into LAD language T1241 | 11242 [ 1124.3 | Q1240 | QI241 [ov [oo [1] [ov [1 [1 [1] [Lt [rt [1 [10 | [0 [Jo [1 [0] 0 | [LT [rt [1 [ot] [Tt [TooToo [1] [rT Tov 1 [0] Table 1: Logic Table
Question:
IN STEP 1 GIVE THE INTRODUCTION OF THE CONCEPT AND GIVE ANSWER FOR EACH PART OF THE QUESTION IN EACH DIFFERENT STEP WITH CLEAR EXPLANATION AND IN THE FINAL STEP GIVE THE WHOLE FINAL ANSWER IN JUST VERY FEW SENTENCES AND MOREOVER I NEED COMPLETE AND CLEAR ANSWER at last explain what we did in each step in just few sentences
Proglem 2 (CLO:1.04 & 3.01)(10 score) Progam the logic table in figure 1 into LAD
language
T1241 | 11242 [ 1124.3 | Q1240 | QI241
[ov [oo [1]
[ov [1 [1 [1]
[Lt [rt [1 [10 |
[0 [Jo [1 [0] 0 |
[LT [rt [1 [ot]
[Tt [TooToo [1]
[rT Tov 1 [0]
Table 1: Logic Table
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Asked by: Test User 100221
Created at: 2025-05-09 09:01:57
Asked by: Test User 100221
Created at: 2025-05-09 09:01:57
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### **STEP 1: Introduction to the Concept**
**Ladder Logic (LAD) Programming:**
Ladder Logic is a graphical programming language used to program PLCs (Programmable Logic Controllers). It uses symbols that resemble the rungs of a ladder, where each rung represents a logical operation or control circuit. Inputs (like I124.1) are represented by contacts, and outputs (like Q124.0) by coils.
**Truth Table:**
A truth table shows all possible combinations of input values and the corresponding output values. Our task is to write ladder logic (LAD) that will make the outputs (Q124.0 and Q124.1) match the truth table for each input combination.
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### **STEP 2: Analyze the Logic Table**
Let's write the logic equations for each output based on the table.
#### **Q124.0:**
It is 1 for the following rows (row 2, 3, 5, 7, 8):
| I124.1 | I124.2 | I124.3 | Q124.0 |
|--------|--------|--------|--------|
| 0 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 |
| 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 |
We can write the Boolean expression for Q124.0:
- Q124.0 = (¬I124.1 ∧ I124.2 ∧ I124.3) ∨ (I124.1 ∧ I124.2 ∧ I124.3) ∨ (I124.1 ∧ ¬I124.2 ∧ I124.3) ∨ (I124.1 ∧ I124.2 ∧ ¬I124.3) ∨ (I124.1 ∧ ¬I124.2 ∧ ¬I124.3)
This can be simplified as:
- Q124.0 = (I124.2 ∧ I124.3) ∨ (I124.1 ∧ I124.2) ∨ (I124.1 ∧ I124.3) ∨ (I124.1 ∧ ¬I124.2 ∧ ¬I124.3)
But for clarity, we may keep the sum of minterms as above.
#### **Q124.1:**
It is 1 for the following rows (row 1, 2, 4, 6, 7):
| I124.1 | I124.2 | I124.3 | Q124.1 |
|--------|--------|--------|--------|
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 |
| 0 | 0 | 1 | 1 |
| 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 |
Boolean expression for Q124.1:
- Q124.1 = (¬I124.1 ∧ I124.2 ∧ ¬I124.3) ∨ (¬I124.1 ∧ I124.2 ∧ I124.3) ∨ (¬I124.1 ∧ ¬I124.2 ∧ I124.3) ∨ (I124.1 ∧ I124.2 ∧ ¬I124.3) ∨ (I124.1 ∧ ¬I124.2 ∧ ¬I124.3)
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### **STEP 3: Write the Ladder Logic (LAD) Rungs**
#### **Q124.0 (Output 1):**
- Rung 1: (I124.1) AND (I124.2) AND (I124.3) → Q124.0
- Rung 2: (NOT I124.1) AND (I124.2) AND (I124.3) → Q124.0
- Rung 3: (I124.1) AND (NOT I124.2) AND (I124.3) → Q124.0
- Rung 4: (I124.1) AND (I124.2) AND (NOT I124.3) → Q124.0
- Rung 5: (I124.1) AND (NOT I124.2) AND (NOT I124.3) → Q124.0
#### **Q124.1 (Output 2):**
- Rung 1: (NOT I124.1) AND (I124.2) AND (NOT I124.3) → Q124.1
- Rung 2: (NOT I124.1) AND (I124.2) AND (I124.3) → Q124.1
- Rung 3: (NOT I124.1) AND (NOT I124.2) AND (I124.3) → Q124.1
- Rung 4: (I124.1) AND (I124.2) AND (NOT I124.3) → Q124.1
- Rung 5: (I124.1) AND (NOT I124.2) AND (NOT I124.3) → Q124.1
---
### **STEP 4: Final Compact Answer**
**Final Answer:**
Program the LAD so that Q124.0 and Q124.1 are energized according to the minterms listed above for each output, directly matching the truth table.
---
### **STEP 5: Summary of What We Did**
- In Step 1, we introduced ladder logic and how to use a truth table for PLC programming.
- In Step 2, we analyzed the truth table and derived Boolean expressions for each output.
- In Step 3, we converted those expressions into ladder logic rungs.
- In Step 4, we summarized the solution.
- **In short:** We translated the logic table into ladder logic by identifying all input combinations that make each output true and programmed each as a rung in ladder logic.
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