(x + x + ²x). (tx + ²x + ¹x). (Ex + ¹x) = Y +x³x + ²x³x+ *x£x + £x³x + £x¹x = f Write Verilog code to describe the following functions:

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**Title: Writing Verilog Code for Boolean Functions**

**Objective:**
To write Verilog code for the following Boolean functions:

\[ f_1 = x_1 \overline{x_3} + x_2 \overline{x_3} + \overline{x_3} \overline{x_4} + x_1 x_2 + x_1 \overline{x_4} \]

\[ f_2 = (x_1 + \overline{x_3}) \cdot (x_1 + x_2 + \overline{x_4}) \cdot (x_2 + \overline{x_3} + \overline{x_4}) \]

**Explanation of Functions:**

1. **Function \( f_1 \):**
\[ f_1 = x_1 \overline{x_3} + x_2 \overline{x_3} + \overline{x_3} \overline{x_4} + x_1 x_2 + x_1 \overline{x_4} \]

This function is a sum of products (SOP) expression consisting of five terms. Each term is a product of variables and their complements. 

2. **Function \( f_2 \):**
\[ f_2 = (x_1 + \overline{x_3}) \cdot (x_1 + x_2 + \overline{x_4}) \cdot (x_2 + \overline{x_3} + \overline{x_4}) \]

This function is a product of sums (POS) expression consisting of three terms. Each term is a sum of variables and their complements.

**Verilog Code Implementation:**

Below is the Verilog code to describe the given Boolean functions.

```verilog
module boolean_functions (
    input wire x1,
    input wire x2,
    input wire x3,
    input wire x4,
    output wire f1,
    output wire f2
);
   
    // Boolean Function f1
    assign f1 = (x1 & ~x3) | (x2 & ~x3) | (~x3 & ~x4) | (x1 & x2) | (x1 & ~x4);
    
    // Boolean Function f2
    assign f2 = (x1 | ~x3) & (x1
Transcribed Image Text:**Title: Writing Verilog Code for Boolean Functions** **Objective:** To write Verilog code for the following Boolean functions: \[ f_1 = x_1 \overline{x_3} + x_2 \overline{x_3} + \overline{x_3} \overline{x_4} + x_1 x_2 + x_1 \overline{x_4} \] \[ f_2 = (x_1 + \overline{x_3}) \cdot (x_1 + x_2 + \overline{x_4}) \cdot (x_2 + \overline{x_3} + \overline{x_4}) \] **Explanation of Functions:** 1. **Function \( f_1 \):** \[ f_1 = x_1 \overline{x_3} + x_2 \overline{x_3} + \overline{x_3} \overline{x_4} + x_1 x_2 + x_1 \overline{x_4} \] This function is a sum of products (SOP) expression consisting of five terms. Each term is a product of variables and their complements. 2. **Function \( f_2 \):** \[ f_2 = (x_1 + \overline{x_3}) \cdot (x_1 + x_2 + \overline{x_4}) \cdot (x_2 + \overline{x_3} + \overline{x_4}) \] This function is a product of sums (POS) expression consisting of three terms. Each term is a sum of variables and their complements. **Verilog Code Implementation:** Below is the Verilog code to describe the given Boolean functions. ```verilog module boolean_functions ( input wire x1, input wire x2, input wire x3, input wire x4, output wire f1, output wire f2 ); // Boolean Function f1 assign f1 = (x1 & ~x3) | (x2 & ~x3) | (~x3 & ~x4) | (x1 & x2) | (x1 & ~x4); // Boolean Function f2 assign f2 = (x1 | ~x3) & (x1
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ISBN:
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Publisher:
Course Technology Ptr