December 9, 2023
/ 394 /# Why do computers use the binary system instead of the decimal system?

**What is Binary Number System?**

**What is Decimal Number System?**

**Why Computers Use Binary?**

### 1. Electronic Basis

### 2. Boolean Logic Gates

### 3. Allows for Simplicity and Reduced Hardware Complexity

### 4. Unambiguous Signals

### 5. Efficient Arithmetic Operations

**FAQs**

## More For You ☄

In short, computers use the binary system instead of the decimal system because, **binary system consist of just two digits 0 and 1 which is analogous to the state (either “on” or “off”) of the electronics switches (transistors) that computers are made up of**.

But for decimal it consists of ten digits (0 1 2 3 4 5 6 7 8 9) which can lead to hardware complexity.

The binary number system is the simplest number system, as it consists of only two digits, one (1) and zero (0).

These binary digits are called **bits**.

The decimal number system, also known as the denary system, is the base-10 system we use in everyday life.

It consists of ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Computer systems are made up of billions of electronics switches called *transistors* — which can either be in a state of “on” or “off”.

The binary digits — 0 and 1 correspond to the states of electronic switches (transistors), where 0 represents “off” and 1 represents “on.”

The Central Processing Unit (CPU) of a computer is constructed using Boolean logic gates, such as AND and OR gates.

These gates operate on binary inputs (0 and 1) and produce binary outputs.

This fundamental architecture is designed to process information in a binary format.

Using only two digits simplifies the design and operation of digital circuits. This reduces the complexity of hardware components and makes them more reliable.

Binary signals (i.e., have two levels — High and Low) are clear and unambiguous, making them resistant to noise and interference. This ensures reliable data transmission and processing.

Binary addition is simpler than decimal addition. With only two digits (0 and 1), the possibilities are limited and straightforward: **0 + 0 = 0, 0 + 1 = 1, 1 + 0 = 1, and 1 + 1 = 0 with a carry of 1**.

This simplicity makes it a perfect fit for digital circuits, where *XOR* and *AND* gates can be used to perform these operations efficiently.

Binary multiplication is just as easy. Multiplying by 0 always gives you 0, and multiplying by 1 leaves the original number unchanged.

These simple rules make binary arithmetic a natural choice for computers, where speed and efficiency are paramount.

**1. Can computers understand any number system other than binary?** Computers are inherently designed to comprehend and process information in binary.

While there are methods to convert other number systems, the efficiency, and speed lie in the binary domain.

**2. Can a computer understand the decimal system at all?** Yes, computers can understand the decimal system, but they internally convert decimal inputs to binary for processing.

The binary system remains the native language of computers.