## What is Binary Code?

Binary code is the fundamental language of computers and it uses only 0 and 1 so 0 is off and 1 is on(like in light switch). These digits in computer world are also called bits and they are the building blocks of all digital information oh and if there 8 bits(0000 0000) it called byte. Every piece of data in a computer, whether it's text, images, or even this website is represented by these two simple digits.

## Why do computers use only two digits?

Computers use binary because it's simple, efficient, and reliable. Electronic components can easily represent two states on 1 or off 0. This simplicity makes computer hardware more dependable and easier to manufacture.

## How Does Binary Work?

In binary each digit represents a power of 2. Here's how it breaks down:

- The rightmost digit represents 2^0 (1)
- The next digit represents 2^1 (2)
- Then 2^2 (4), 2^3 (8), 2^4 (16), and so on

For example the binary number 1010 means:

1 0 1 0 8 4 2 1 = 8 + 0 + 2 + 0 = 10 in decimal

## How can we represent larger numbers with just 0 and 1?

So simple just by using more digits! Just like in our decimal system where we add more digits to represent larger numbers (10, 100, 1000), binary does the same with 0 and 1.

## How to Convert Numbers to Binary?

### Decimal to Binary:

- Divide the number by 2
- Keep track of the remainder (0 or 1)
- Repeat until the quotient becomes 0
- Read the remainders from bottom to top

Example: Converting 13 to binary

13 ÷ 2 = 6 remainder 1 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1

Reading from bottom to top: 13 in binary is 1101

### Binary to Decimal:

- Multiply each digit by its place value (1, 2, 4, 8, etc.)
- Sum up all the results

Example: Converting 1011 to decimal

1 0 1 1 8 4 2 1 (1×8) + (0×4) + (1×2) + (1×1) = 8 + 0 + 2 + 1 = 11

## Why is it important to know how to convert between decimal and binary?

Understanding these conversion can help you grasp how computers interpret and process data. It's also useful for debugging and understanding computer memory.

## Why computers don't use different number system, like decimal?

While theoretically possible, other systems would be more complex, less efficient, and more prone to errors. Binary code is simple and that makes it the ideal choice for computer systems.

## Can I also write in binary code?

Yes, people sometimes write messages in binary as a fun code or to understand computer basics. Here's how it works:

- Each letter is converted to its binary equivalent.
- For example, 'A' becomes 01000001, 'B' becomes 01000010.
- A phrase like "Hello" in binary looks like this:

01001000 01100101 01101100 01101100 01101111

We made simple table for each letter check binary alphabet and binary numbers tables.

## How to use quiz we have above?

Our quiz made to help you practice converting between decimal and binary numbers.

Here's how it works:

- You'll see a number to convert (either decimal or binary).
- Type your answer using the provided buttons.
- Click "Submit Answer" to check if you're correct.
- Your score changes based on correct or incorrect answers.
- You can switch between decimal to binary and binary to decimal modes.