VIPSolutionsgive answer in 2 step with explanation at the end of each step and final answer at the end:ir eke gabe 1 Fras Sno i857 100 RRsD~ 3 Ra sui FARRST) =D m(0.1.3.4,10.11,14,15) BRE Sot Ee [ DO qe } iD; L T iiss 8 [ 1 908 Fl R23
Question:
give answer in 2 step with explanation at the end of each step and final answer at the end:
ir eke gabe 1
Fras Sno i857 100
RRsD~ 3 Ra sui
FARRST) =D m(0.1.3.4,10.11,14,15)
BRE Sot
Ee [ DO
qe } iD; L T
iiss
8 [ 1
908
Fl R23
This is AI generated Response.
Asked by: Rahul
Created at: 2025-10-04 12:15:10
Asked by: Rahul
Created at: 2025-10-04 12:15:10
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## Step 1: **Decode the Boolean Functions**
The three functions are given in minterm form:
- **F1(P, R, S, T) = Σm(, 1, 3, 5, 7, 8, 10, 14)**
- **F2(P, R, S, T) = Σm(1, 2, 3, 6, 8, 11, 12, 13, 15)**
- **F3(P, R, S, T) = Σm(, 1, 3, 4, 10, 11, 14, 15)**
Each minterm corresponds to a unique combination of the input variables (P, R, S, T) where the function is 1.
### Explanation:
- Each minterm number is the binary encoding of the input values (P, R, S, T) with P as the most significant bit and T as the least significant bit.
- For example, minterm 5 is 0101 (P=, R=1, S=, T=1).
---
## Step 2: **Draw the Fuse Map**
The PLA diagram shows 4 inputs, their complements, and AND gates (to form product terms), with OR gates at the outputs.
### Steps:
1. **For each minterm** in a function, mark the corresponding connection (fuse) in the PLA.
2. **Each row** in the AND array corresponds to a minterm.
3. **Connect the product terms** (AND gates) to the appropriate OR gates (outputs F1, F2, F3) as per the minterm list.
#### Example for F1:
- For minterm (000): Connect P', R', S', T' to the AND gate for this row.
- For minterm 1 (0001): Connect P', R', S', T.
- Continue similarly for each minterm.
### Final Answer:
**The fuse map is created by connecting each input (or its complement) to each AND gate that corresponds to a minterm in the function's minterm list. Then, connect the AND gate outputs to the OR gate of the corresponding function (F1, F2, F3) as per their minterms.**
**In summary:**
- Each product term (AND gate row) represents a minterm.
- Inputs (P, R, S, T and their complements) are connected to AND gates according to the binary value of the minterm.
- Each output (F1, F2, F3) sums the AND gates (minterms) specified in its given list.
---
### **Final Answer:**
> The fuse map for the PLA is made by connecting the appropriate input lines (true or complemented) to each AND gate to create the minterms specified for F1, F2, and F3, and then connecting those AND gate outputs to the correct output OR gates as listed in the functions’ minterms.
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