Convert Binary Numbers to Decimal and Vice Versa for a Better Understanding

How to convert binary numbers to decimal?

Let's start by converting the binary number (1101) base 2 to decimal.

Is there an easier way to understand binary to decimal conversion?

To convert a binary number to a decimal number, we need to multiply each digit of the binary number by 2 raised to the power of its position from right to left, starting at 0. Then, we sum up all the results to get the decimal equivalent.

For example, let's convert the binary number (1101) base 2 to decimal:

• (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 * 2^0)
• (1 * 8) + (1 * 4) + (0 * 2) + (1 * 1)
• 8 + 4 + 0 + 1 = 13

Therefore, (1101) base 2 is equal to 13 in decimal.

Understanding binary to decimal conversion is essential for various fields such as computer science, information technology, and digital electronics. Mastering this conversion will greatly benefit you in comprehending the basics of binary numbers and their decimal equivalents.