3) please solve, will upvote! **Combinational Circuit Minimization**Fill in the Karnaugh map for the function.\[ F = (W + X + Y + Z) \cdot (W + X' + Y + Z) \cdot (W' + X + Y + Z') \cdot (W' + X + Y + Z) \cdot (W + X + Y' + Z) \cdot (W + X' + Y' + Z) \]### Tasks1. **Find the minimal sum of products.** \[ F = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]2. **Find the canonical sum.** \[ F = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]3. **Find the minimal product of sums.** \[ F = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]4. **Draw the logic circuit for the minimal product using only NOR gates.**### Karnaugh Map AnalysisThe Karnaugh map includes four variables (W, X, Y, Z) represented as follows:- The map is a 4x4 grid.- The column labels (WX) are: 00, 01, 11, 10.- The row labels (YZ) are: 00, 01, 11, 10.#### Map Values:\[\begin{array}{cccc}00 & 01 & 11 & 10 \\\hline0 & 4 & 12 & 8 \\1 & 5 & 13 & 9 \\3 & 7 & 15 & 11 \\2 & 6 & 14 & 10 \\\end{array}\]### Instructions- Use the given function to fill in the values on the map.- Group ones to find the minimal expressions.- Solve for minimal expressions in both sum of products and product of sums forms.- Draw the NOR gate logic circuit corresponding to the minimal product of sums.

The given Boolean expression is in product of sum form and the same should be converted into k-map…

3. Combinational Circuit Minimization. Fill in the Karnaugh map for the function. F = (W+X+Y+Z). (W+X'+Y+Z). (W'+X'+Y+Z'). (W'+X+Y+Z'). (W+X+Y’+Z)· (W+X'+Y'+Z) Find the minimal sum of products. F = Find the canonical sum F = Find the minimal product of sums. F = Draw the logic circuit for the minimal product using only NOR gates.

3. Combinational Circuit Minimization. Fill in the Karnaugh map for the function. F = (W+X+Y+Z). (W+X'+Y+Z). (W'+X'+Y+Z'). (W'+X+Y+Z'). (W+X+Y’+Z)· (W+X'+Y'+Z) Find the minimal sum of products. F = Find the canonical sum F = Find the minimal product of sums. F = Draw the logic circuit for the minimal product using only NOR gates.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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3) please solve, will upvote!

**Combinational Circuit Minimization**

Fill in the Karnaugh map for the function.

\[ F = (W + X + Y + Z) \cdot (W + X' + Y + Z) \cdot (W' + X + Y + Z') \cdot (W' + X + Y + Z) \cdot (W + X + Y' + Z) \cdot (W + X' + Y' + Z) \]

### Tasks

1. **Find the minimal sum of products.**

\[ F = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]

2. **Find the canonical sum.**

\[ F = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]

3. **Find the minimal product of sums.**

\[ F = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]

4. **Draw the logic circuit for the minimal product using only NOR gates.**

### Karnaugh Map Analysis

The Karnaugh map includes four variables (W, X, Y, Z) represented as follows:

- The map is a 4x4 grid.
- The column labels (WX) are: 00, 01, 11, 10.
- The row labels (YZ) are: 00, 01, 11, 10.

#### Map Values:

\[
\begin{array}{cccc}
00 & 01 & 11 & 10 \\
\hline
0 & 4 & 12 & 8 \\
1 & 5 & 13 & 9 \\
3 & 7 & 15 & 11 \\
2 & 6 & 14 & 10 \\
\end{array}
\]

### Instructions

- Use the given function to fill in the values on the map.
- Group ones to find the minimal expressions.
- Solve for minimal expressions in both sum of products and product of sums forms.
- Draw the NOR gate logic circuit corresponding to the minimal product of sums.

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