How to Convert Binary to Decimal

1 Conversion steps:

Here are the steps to convert the binary number 100001 to decimal:

1. Write down the binary number: 100001
2. Assign each digit in the binary number a place value, starting from the rightmost digit with a value of 1, and doubling the value for each digit moving left:

1         0   0   0   0   0  1

64     32  16  8   4   2   1

3. Multiply each digit in the binary number with its corresponding place value:

1 x 64 = 64

                     0 x 32 = 0

0 x 16 = 0

0 x 8 = 0

0 x 4 = 0

0 x 2 = 0

1 x 1 = 1

4. Add up the products obtained in step 3 to obtain the decimal equivalent:

64 + 0 + 0 + 0 + 0 + 0 + 1 = 65

Therefore, the binary number 100001 is equivalent to the decimal number 33. Note that this result is different from the decimal value of 65, which was obtained earlier because of a mistake in the conversion process. The correct binary representation of the decimal number 65 is 1000001.

2 Binary to Decimal Conversion Table