Introduction:

Binary to decimal conversion is a fundamental concept in computer science and digital electronics. It involves translating a number from the binary system (base 2) to the decimal system (base 10).



Understanding Binary to Decimal Conversion:



A binary number consists of 0s and 1s, each digit representing a power of 2.

The conversion is done by multiplying each binary digit by its corresponding power of 2 and summing up the results.

Steps for Binary to Decimal Conversion:



Start from the rightmost digit of the binary number, which represents 2^0, and move to the left, increasing the power of 2 with each step.

Multiply each binary digit by its corresponding power of 2.

Sum all these values to get the decimal equivalent.

Example:



To convert the binary number 1101 to decimal:

Calculate as follows:

1 × (2^3) + 1 × (2^2) + 0 × (2^1) + 1 × (2^0)

Equals: 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1

Equals: 8 + 4 + 0 + 1 = 13

So, the decimal equivalent of the binary number 1101 is 13.

Key Points to Remember:



The rightmost digit of a binary number is the least significant bit, representing 2^0.

Each digit's value depends on its position, or place value, in the binary number.