Verilog Convert Binary to Decimal

In digital electronics, converting binary numbers to decimal is an essential task. This article will explore how to achieve this conversion using Verilog, with a focus on signed counter implementation and overflow detection.

The process of converting binary to decimal involves sign extension, which is crucial when dealing with signed numbers. In Verilog, we can implement a signed counter by modifying the up/down counter code to use signed operations. This requires adding the `signed` keyword to vectors b and c in the testbench code.

To avoid overflow cases, it's essential to detect them correctly. A common approach is to declare all vectors as signed if they could receive signed assignments. In the given example, when a = 101, it needs to be sign-extended to 1101, which then becomes zero-extended to 01101 due to b being unsigned.

A more efficient way to detect overflow cases is to study the results from the addition table. By doing binary arithmetic and indicating overflow cases with an exclamation point (!), we can create a precise logic solution that detects all overflow events.

For instance, in the 3-bit addition table below, we can see that the result of adding 5 (101) and -2 (110) is 3 (011). However, this operation overflows because the most significant bit changes from 0 to 1.

| A | B | Sum | Decimal Interpretation |

| --- | --- | --- | --- |

| 000 | 101 | 00101! | 5 |

| ... | ... | ... | ... |

To create a BCD (Binary-Coded Decimal) converter with 5 inputs, we need to understand how to add binary numbers using 2's Complement. In Verilog syntax, this is expressed as ~N+1 or just -N.

For example, to obtain the negative number -3 from a positive number 3, we can follow these steps:

* Add 1 to ~3 using normal addition, discarding the final carry.

* Obtain the 2's Complement of N by flipping all the bits and adding 1.

By implementing this logic in Verilog, we can create an efficient BCD converter that handles signed numbers correctly.

In conclusion, converting binary to decimal using Verilog requires a deep understanding of signed counter implementation, overflow detection, and 2's Complement addition. By following these steps and considering the importance of sign extension and vector declaration, we can create a reliable and accurate binary-to-decimal conversion system.

'Photograph the results and save them as case1, case2, etc., with an appropriate graphics extension.'

Verilog convert binary to decimal