# Data Representation

Data representation represents information in a form that can be easily understood and processed. This is often done through visual representations, such as graphs, charts, or tables. The data representation is also important because it helps to understand how much information is contained in the given dataset. However, data representation can be problematic because numerical data is used in many different ways.

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The form that data takes can be categorized into four main types:

-Binary: This is the simplest form of data, and it is simply a 1 or 0. Binary data can represent everything from $1 bills to computer notes. -Decimal: Also called base 10, this form of data uses ten digits, 0 through 9, to represent numbers. Decimal data is the most common form of data used in everyday life. -Hexadecimal: This form of data uses 16 digits, 0 through 9 and A through F, to represent numbers. Hexadecimal data is often used in computer programming and articles about computers. -Ascii: This form of data uses seven digits, 0 through 127, to represent characters. Ascii characters are the standard characters used in title case and lower case text. Data representation is essential because it allows us to store data in a way that computers can read. Unfortunately, computers understand only binary code, so all other forms of data must be translated into binary before a computer can process them. ## Data tables Data tables are a way of representing data in a structured format. They are commonly used in programming and articles on computers. Data tables usually have a header, which contains the title or name of the data set. Rows of data follow the rubric. Each row represents a single piece of data, and each column represents a different attribute of that data. For example, a data table about computer notes might have columns for the title, the author, the date, and the message itself. ## Graphs Graphs are a way of visually representing data. They can be used to describe both simple and complex information. Graphs can be created by hand or by using a computer program. There are two common types of graphs: binary graphs and$ graphs. Binary charts have two vertices (or nodes), while $graphs have more than two vertices. Binary graphs are often used to represent relationships between two items. For example, a binary chart could represent a website’s relationship between articles and title pages. The pieces would be represented by one node, and the other would describe the title pages. If there were a link between an article and a title page, it would be represented by an edge connecting the two nodes.$ graphs are more commonly used to represent more complex relationships. For example, a $graph could represent the relationships between computer programs, notes, and computers. In this case, each node would convey a different item, and the edges would represent the relationships between them. For example, if one program were designed to run on multiple computers, there would be an edge connecting that program’s node to each computer node. ## Charts Charts are a common way of representing data, mainly when that data is described in a binary form (i.e., as ones and zeros). We first need to understand how computers represent data to create a chart. In most cases, data is stored in memory as a series of related notes. Each note can be considered a letter in the alphabet, and the order in which the messages are stored is known as the computer’s “memory address.” When we want to represent data using charts, we use a system of ordered pairs (x, y), where x corresponds to the memory address, and y corresponds to the value stored at that address. For example, if we wanted to represent the data “1 0 1 0 1” using a chart, we would use the following ordered pairs: (0, 1) (1, 0) (2, 1) (3, 0) (4, 1) These ordered pairs can then be plotted on a graph, with the x-axis representing the memory addresses and the y-axis representing the values stored at those addresses. The resulting graph would look like this: ## Maps There are two main ways to represent data in computers, bits and bytes. A bit is a single 0 or 1, while a byte is a sequence of 8 bits. Therefore, when you see a$ sign in front of a number in a computer program, it usually means that the number is being represented in binary form. In other words, each digit in the number corresponds to a specific bit. For example, the number 12 can be defined as:

$$egin{array}{r} 1 imes2^3+1 imes2^2+0 imes2^1+0 imes2^0\ =8+4+0+0\ =12 \end{array}$$

## Infographics

An infographic is a representation of data that uses visuals to communicate information. They can make complex data more understandable and are often used in articles, presentations, and web pages.

Some common visual elements used in infographics are:

-Binary code

-Bar graphs

-Pie charts

-Flow charts

Infographics can represent any data but are often used to describe data that is difficult to understand in textual form. For example, an infographic might be used to explain how a computer processes information or to show the relations between different parts of a computer system.