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Binary to Decimal



This converter converts the given binary number to decimal number.

Binary to Decimal

Binary to decimal conversion is the process of converting a binary (base-2) number into its decimal (base-10) representation.

In the binary system, numbers are expressed using only the digits 0 and 1, while in the decimal system, numbers are represented using the digits 0 through 9.

Steps to convert binary to decimal

Here are the steps to convert a binary number to decimal:

  1. Start from the rightmost digit (the least significant bit).
  2. Assign a place value of 20 to the rightmost bit (1) and increase the exponent by 1 for each subsequent bit to the left (21, 22, and so on).
  3. Multiply each bit by its corresponding place value.
  4. Sum up all the results to get the decimal equivalent.

Example

Let's take an example to illustrate the process. Suppose we want to convert the binary number 1101 to decimal:

1×23 + 1×22 + 0×21 + 1×20

Calculating the values:

8 + 4 + 0 + 1 = 13

Therefore, the binary number 1101 is equal to the decimal number 13.