The number system makes up the spine of digital electronics, as we have studied previously. Number system can also be transformed into different number systems via different methods in this blog we will go over the methods to convert one number system into another one.

Binary (Base-2)
At the core of digital communication lies the binary system, where everything is represented using only two digits: 0 and 1. Computers, being the binary wizards they are, use this system to process and store data in the form of bits (binary digits). Understanding binary is like deciphering the secret code that powers the digital world.
Decimal (Base-10)
Decimal is the number system we use in our day-to-day lives. It's a base-10 system, meaning it has ten digits (0-9). When you count from 0 to 9, you start over with a new place value, and that's what makes it base 10. Decimal is familiar to us, making it an excellent bridge between our human understanding and the digital language of computers.
Hexadecimal (Base-16)
Hexadecimal is like a hybrid between binary and human-readable notation. It uses 16 digits, including numbers 0-9 and letters A-F. Hexadecimal is often employed in programming and digital design because it provides a concise representation of binary data. Each hexadecimal digit corresponds to a group of four binary digits, making it a handy shorthand.
Binary to Decimal Conversion:
Let's start with the basics. To convert a binary number (base-2) to decimal (base-10), follow these steps:
Write down the binary number.
Assign powers of 2 to each digit, starting from the right with 2^0.
Multiply each binary digit by its corresponding power of 2.
Sum up the results to get the decimal equivalent.
Example: Convert 1011 (Binary) to Decimal.
(1×2^3)+(0×2^2)+(1×2^1)+(1×2^0)=8+0+2+1=11
Decimal to Binary Conversion:
Converting a decimal number to a binary involves repeated division by 2. Here's a simplified guide:
Divide the decimal number by 2.
Note the remainder (it will be either 0 or 1).
Repeat the process with the quotient until the quotient is 0.
Read the remainder in reverse order to get the binary equivalent.