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Convert binary to text

01001000 01100101 01101100 01101100 01101111 in binary is Hello in text. Each digit is multiplied by its place value — the base raised to the digit's position, counting from zero on the right — and the products are added. The page prints every one of those products rather than only the total. The conversion is exact: bases are positional notation for the same number, so nothing is rounded and the result can be checked digit by digit.

Conversion rules checked · How we check

01001000 01100101 01101100 01101100 01101111 in binary

Hello

How it gets there

Each group is one byte
01001000 → 72 01100101 → 101 01101100 → 108 01101100 → 108 01101111 → 111
Bytes become characters
Decoded as UTF-8, so a multi-byte sequence forms a single character.

binary to text, at a glance

Text is numbers underneath: each character has a code point, and the binary is that number written in base two. ASCII fits in seven bits, and UTF-8 uses one to four bytes so that the first 128 code points stay identical to ASCII.

binary to text, at a glance
binarytext
01000001A
01011010Z
01100001a
01111010z
001100000
001110019
00100000space
00100001!

Why is the working shown?

Every other converter of this kind prints the answer and stops. A base is a positional system, so the answer is a sum you can check: each digit is multiplied by the base raised to its position, and the results are added. Going the other way is repeated division, reading the remainders upwards. Neither is a black box, and this page refuses to be one.

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