Why are Binary Numbers used in Digital Electronics?

Bybarby

Jul 7, 2020

Digital Electronics Circuits use Binary Numbers because in this binary number system we make use of only two states which are represented by “0” and “1” and due to the use of these two states, it becomes easier to deal with any switching circuits. So here, the binary numbers “0” and “1” represent ON and OFF states. By the end of this article, you will have a sound understanding of why binary numbers are used in digital electronics.

The binary number system is the basis for the storage and transfer of data in digital electronics devices. This system uses base 2 rather than base 10 where the base 2 is called as binary and base 10 is called as decimals. The word digital implies that the information in any system is represented by the values that are limited in number. These values are processed by circuit components that maintain a limited set of values.

A digital system performs more reliably and efficiently if it handles only two values ( “0” and “1”) that are only two states and such a digital system will be called a two-state system or a binary system.
Because there are only two valid Boolean values for representing i.e., either a Logic “1” or a logic “0”, it makes the binary number system ideal for use in digital electronic circuits and systems.

To be precise, digital electronics is not only about binary numbers. Digital electronics is based on the design that every signal in a circuit is either in the state of “on/off” or “high/low” states, or “true/false”, or “1/0″, depending on how you choose to label the states, so you can use any of these to represent the state in whatever way you are comfortable with. The word “binary” literarily means “two states” where “bi” stands for two.
• 1 – HIGH -TRUE – ON
• 0 – LOW – FALSE – OFF

Digital circuits process signals that contain just two voltage levels or states are labeled as Logic “0” and logic “1”. Here, a logic “1” represents a higher voltage, such as 5 volts, which is commonly referred to as a HIGH value, while a logic “0” represents a low voltage, such as 0 volts or Ground, and is commonly known as a LOW value. These two voltage levels representing the digital values of “1’s” (ones) and “0’s” (zero’s) and are commonly called Binary Digits, and in digital circuits and applications, they are normally referred to as Binary BITS.

Digital electronic circuits depend on the binary number system. Thus, before you understand the details of how digital circuit works, first you need to understand how the binary number system works, only then you can play with any complex digital circuits.

Binary is considered as one of the simplest of all number systems because it has only two numerals : 0 and 1. In the decimal system, with which most people are familiar, you can use 10 numerals : 0 to 9.
Let’s take an example for an ordinary decimal number,
Eg. 3.482
So here, the rightmost digit (2) represent ones, the next digit to the left (8) represent tens, the next digit to the left (4) represent hundreds, the next digit to the left (3) represent thousands, and so on. These digits represent powers of ten so here, we will be considering the base as 10. So, starting from the rightmost digit 10^0 (which is 1), next 10^1 (which is 10), then 10^2 (which is 100), 10^3 (which is 1000) and, so on.

Whereas in binary you have only two numerals rather than ten, which is why binary numbers are somewhat monotonous as 110011, 101111, 100001…
The positions in a binary number are called “Bits” rather than “Digits” and they represent powers of two rather than powers of ten so here, we will be considering the base as 2.
Eg. 1, 2, 4, 8, 16, 32 …….
2^0 – 1
2^1 – 2
2^2 – 4
2^3 – 8
2^4 – 16
2^5 – 32 ………. (^ – powers)
In short, we use binary numbers in digital electronics because it makes it easier to deal with any digital circuits.

So guys! I hope today’s blog post would be useful for you and if you have any queries regarding this topic you are always welcome to ask them in the comment section below.