What Is a Binary to Decimal Converter?
A binary to decimal converter turns base-2 values into base-10 using place values (powers of 2). This free online tool also converts octal (base 8) and hexadecimal (base 16), so you can move between binary, decimal, hex, and octal in one place—with the arithmetic shown step by step.
Conversion runs in your browser. Use it for bit patterns, ASCII-related codes, or checking work you would otherwise do with parseInt(value, radix) and toString(2).
Hex to Binary, Octal, and Bit Widths
Choose hexadecimal as the input base to run an online hex to binary converter with steps. Bit width (8, 16, 32, 64) controls how many bits are kept in the pattern—useful when you care about a nibble, byte, or word size and the most significant bit.
Signed Values and Two's Complement
Unsigned mode treats the pattern as a non-negative integer. Signed mode uses two's complement so the same bits can represent a negative decimal value. That matches how many CPUs and languages store signed integers.
Number Base Converter FAQs
How do I convert binary to decimal?
Enter a base-2 value (for example 1010). The converter expands place values (1×2³ + 0×2² + 1×2¹ + 0×2⁰) and shows the decimal result, plus hex and octal equivalents.
Can I convert hex to binary with steps?
Yes. Choose hexadecimal as the input base, paste a hex value (with or without a 0x prefix), and review the place-value expansion plus successive division steps that produce the binary bit pattern.
What is two's complement / signed mode?
Signed mode interprets the bit pattern using two's complement for the selected bit width (8, 16, 32, or 64). The most significant bit is the sign bit, so the same pattern can mean a different decimal value than unsigned mode.
Which bases are supported?
Base 2 (binary), base 8 (octal), base 10 (decimal), and base 16 (hexadecimal). You can convert from any of these radices into all of the others.
Is this related to parseInt or toString in JavaScript?
Same idea: parse a string with a radix, then emit other bases. This page shows the arithmetic (place values and successive division) instead of only calling parseInt(x, radix) / toString(2).
Is my number uploaded?
No. Conversion runs in your browser. Free tool—nothing is sent to LiveTechHacks.