How to Convert Binary to Decimal

What is the decimal equivalent of the binary number 101010?

The decimal equivalent of the binary number 101010 is 21.

Understanding the Conversion Process

When converting a binary number to its decimal equivalent, you follow a specific process that involves assigning values and summing up the results.

Step 1: Start from the rightmost digit of the binary number.

Step 2: Assign a value of 2^0 to this rightmost digit.

Step 3: Move to the left and assign the next digit a value of 2^1. Double the value for each subsequent digit as you move left.

Step 4: Multiply each binary digit by its corresponding value (0 or 1) and sum up the results.

Step 5: The total sum obtained is the decimal equivalent of the binary number.

Example: Converting 101010 to Decimal

Let's convert the binary number 101010 to decimal:

1 * 2^0 = 1

0 * 2^1 = 0

1 * 2^2 = 4

0 * 2^3 = 0

1 * 2^4 = 16

0 * 2^5 = 0

Adding up the results: 1 + 0 + 4 + 0 + 16 + 0 = 21

Remember to double-check your calculations and be cautious with larger binary numbers, as the process remains the same but may involve more calculations.