Step 1: Determine the UTF-8 encoding bit layout
The character ℘ has the Unicode code point U+2118. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of
0x0800
to0xffff
.
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 thex
are 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+2118 to binary:
00100001 00011000
. 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 10011000
SCRIPT CAPITAL P·U+2118
Character Information
Character Representations
Click elements to copyEncoding | Hex | Binary |
---|---|---|
UTF8 | E2 84 98 | 11100010 10000100 10011000 |
UTF16 (big Endian) | 21 18 | 00100001 00011000 |
UTF16 (little Endian) | 18 21 | 00011000 00100001 |
UTF32 (big Endian) | 00 00 21 18 | 00000000 00000000 00100001 00011000 |
UTF32 (little Endian) | 18 21 00 00 | 00011000 00100001 00000000 00000000 |
Description
The Unicode character U+2118, known as SCRIPT CAPITAL P, is a typographical symbol used primarily in digital text for its specific role within the realm of mathematics and scientific notations. Its primary purpose is to denote the prime number concept in a clear and concise manner. In mathematical expressions, the symbol represents a prime number, and it is often employed in proofs and equations that require an explicit reference to prime numbers. This character holds significant importance in various branches of mathematics, including number theory, algebra, and calculus. The SCRIPT CAPITAL P has been carefully designed to differentiate it from other similar characters used in typography, ensuring clarity and accuracy in digital text representations.
How to type the ℘ symbol on Windows
Hold Alt and type 8472 on the numpad. Or use Character Map.