Binary to Decimal Converter

Introducing the Binary to Decimal Converter – your go-to tool for seamless and efficient binary-to-decimal conversions. With a sleek and user-friendly interface, this tool supports a variety of binary types, including numbers, 0001-prefixed, signed 8-bit, 16-bit, and 32-bit formats. Simply select your preferred binary type from the dropdown menu, enter the binary value, and watch as the converter instantly transforms it into its decimal counterpart.

Tool Features

Convert binary numbers to decimal effortlessly.
Supports different binary types: Number, 0001-prefixed, Signed 8-bit, Signed 16-bit, and Signed 32-bit.
Interactive and user-friendly interface.

How to Use

Choose the binary type you want to convert from the dropdown menu.
Enter the binary value in the provided input field.
The converted decimal value will be displayed in the output field instantly.

Examples

Example 1: Convert Binary Number

Binary Type: Number

Binary Input: 1101

Decimal Output: 13

Example 2: Convert Signed 8-bit Binary

Binary Type: Signed 8-bit

Binary Input: 10000001

Decimal Output: -127

How to convert binary to decimal

For a binary number with n digits: dn-1 ... d3 d2 d1 d0. The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
decimal = d0×2^0 + d1×2^1 + d2×2^2 + ...

Example

Find the decimal value of 1110012:
binary number: 1 1 1 0 0 1

power of 2: 2^5 2^4 2^3 2^2 2^1 2^0

1110012 = 1⋅2^5 + 1⋅2^4 + 1⋅2^3 + 0⋅2^2 + 0⋅2^1 + 1⋅2^0 = 5710

Binary to decimal conversion table

Binary Number	Decimal Number	Hex Number
0	0	0
1	1	1
10	2	2
11	3	3
100	4	4
101	5	5
110	6	6
111	7	7
1000	8	8
1001	9	9
1010	10	A
1011	11	B
1100	12	C
1101	13	D
1110	14	E
1111	15	F
10000	16	10
10001	17	11
10010	18	12
10011	19	13
10100	20	14
10101	21	15
10110	22	16
10111	23	17
11000	24	18
11001	25	19
11010	26	1A
11011	27	1B
11100	28	1C
11101	29	1D
11110	30	1E
11111	31	1F
100000	32	20
1000000	64	40
10000000	128	80
100000000	256	100