Binary to Decimal

Please input binary values for conversion into decimal.

Bit

Base 2

How to convert Binary to Decimal

To convert binary to decimal, assign each binary digit a positional value (1, 2, 4, 8, etc.), then add the values of the '1' bits. For example, binary 1101 is (1⋅8) + (1⋅4) + (0⋅2) + (1⋅1) = 13 in decimal.

hover text to see steps. On the example below we have a 8bit binary representation

1	1	1	0	1	0	1	0
128	64	32	16	8	4	2	1
128+	64+	32+	0+	8+	0+	2+	0

=234

Without the tab, it is 1⋅128 + 1⋅64 + 1⋅32 + 0⋅16 + 1⋅8 + 0⋅4 + 1⋅2 + 0⋅1

Or equivalent the tab, it is 1⋅2⁷ + 1⋅2⁶ + 1⋅2⁵ + 0⋅2⁴ + 1⋅2³ + 0⋅2² + 1⋅2¹ + 0⋅2⁰

Once its done

Conversion Steps:

Start with your binary representation. For example, let's use the binary number 1101101.
Assign powers of 2 to each digit from right to left, starting with 2^0 for the rightmost digit.
- The rightmost digit is 1, so it's 2⁰ = 1.
- The next digit is 0, so it doesn't contribute to the sum (0⋅2¹ = 0).
- Continue this process for each digit.
Add the contributions of each digit together to get the decimal equivalent.
- 1⋅2⁰ + 0⋅2¹ + 1⋅2² + 1⋅2³ + 0⋅2⁴ + 1⋅2⁵ + 1⋅2⁶ = 109 in decimal.

That's it! You've successfully converted binary to decimal.