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Rule Calculator

Convert text to binary

Hello in text is 01001000 01100101 01101100 01101100 01101111 in binary. 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

Hello in text

01001000 01100101 01101100 01101100 01101111

How it gets there

Each character has a code point
"H" → U+0048 → 01001000 "e" → U+0065 → 01100101 "l" → U+006C → 01101100 "l" → U+006C → 01101100 "o" → U+006F → 01101111
UTF-8, not ASCII
A character outside the ASCII range becomes two to four bytes, which is why the count of groups can exceed the count of characters.
Bytes
5 bytes from 5 characters

text to binary, 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.

text to binary, at a glance
textbinary
A01000001
Z01011010
a01100001
z01111010
000110000
900111001
space00100000
!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.

Other conversions

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