Understanding Verilog Binary Coded Decimal Numbers

In digital design, numbers can be represented in various ways depending on the specific requirements of the application. One such representation is Binary-Coded Decimal (BCD), which is widely used in embedded systems and programmable logic devices like Field-Programmable Gate Arrays (FPGAs). In this article, we will delve into the world of Verilog binary coded decimal numbers and explore how they can be used to simplify design.

Two's Complement: The Standard Approach

When dealing with signed numbers, two's complement is the standard approach used in most CPUs and software. This method allows for easy addition, subtraction, and multiplication of negative values using the same logic as positive binary numbers. By nesting concat operators, designers can set appropriate values regardless of the vector width.

Signed Numbers: A Key Concept

When working with signed numbers, it is crucial to consider how they will be represented in the design. This includes determining whether fixed-point or floating-point arithmetic is required and ensuring that the chosen representation accurately reflects the desired behavior.

Binary Representations: An Overview

Different binary representations of numbers exist, each suited for specific applications. For instance, hexadecimal is ideal for memory addresses, while scientific notation is compactly expressed vast and tiny numbers alike. As a hardware designer, it is essential to understand how these representations work and choose the most suitable one for the design.

Verilog Numbers: A Beginner's Guide

In this series of articles on mathematics and algorithms with FPGAs, we will explore various aspects of Verilog numbers, including fixed-point arithmetic, division, square roots, and CORDIC. We will also cover more complex algorithms like data compression. By understanding these concepts, designers can create efficient and accurate digital designs.