Step 1: Determine the UTF-8 encoding bit layout
The character ℝ has the Unicode code point U+211D. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of
0x0800to0xffff.
Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format:1110xxxx 10xxxxxx 10xxxxxx
Where thexare the payload bits.UTF-8 Encoding bit layout by codepoint range Codepoint Range Bytes Bit pattern Payload length U+0000 - U+007F 1 0xxxxxxx 7 bits U+0080 - U+07FF 2 110xxxxx 10xxxxxx 11 bits U+0800 - U+FFFF 3 1110xxxx 10xxxxxx 10xxxxxx 16 bits U+10000 - U+10FFFF 4 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx 21 bits Step 2: Obtain the payload bits:
Convert the hexadecimal code point U+211D to binary:
00100001 00011101. Those are the payload bits.Step 3: Fill in the bits to match the bit pattern:
Obtain the final bytes by arranging the paylod bits to match the bit layout:
11100010 10000100 10011101
DOUBLE-STRUCK CAPITAL R·U+211D
ℝ
Character Information
Code Point
U+211D
HEX
211D
Unicode Plane
Basic Multilingual Plane
Category
Uppercase Letter
Character Representations
Click elements to copy| Encoding | Hex | Binary |
|---|---|---|
| UTF8 | E2 84 9D | 11100010 10000100 10011101 |
| UTF16 (big Endian) | 21 1D | 00100001 00011101 |
| UTF16 (little Endian) | 1D 21 | 00011101 00100001 |
| UTF32 (big Endian) | 00 00 21 1D | 00000000 00000000 00100001 00011101 |
| UTF32 (little Endian) | 1D 21 00 00 | 00011101 00100001 00000000 00000000 |
HTML Entity
ℝ
URI Encoded
%E2%84%9D
Description
The Unicode character U+211D, known as the DOUBLE-STRUCK CAPITAL R, is a typographical symbol that holds significance in both mathematical and scientific contexts. Its primary usage lies in its ability to represent a bold or double-struck letter within digital text. This distinct appearance helps enhance readability and visual separation from surrounding content, which proves particularly useful when conveying information about mathematical variables, constants, and equations. The DOUBLE-STRUCK CAPITAL R does not hold any cultural or linguistic importance, but its technical role in typography is valuable for maintaining clarity and precision within digital communication, especially in disciplines such as mathematics, physics, engineering, and computer science.
How to type the ℝ symbol on Windows
Hold Alt and type 8477 on the numpad. Or use Character Map.