FUNCTION APPLICATION·U+2061

Character Information

Code Point
U+2061
HEX
2061
Unicode Plane
Basic Multilingual Plane
Category
Format

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 81 A1
11100010 10000001 10100001
UTF16 (big Endian)
20 61
00100000 01100001
UTF16 (little Endian)
61 20
01100001 00100000
UTF32 (big Endian)
00 00 20 61
00000000 00000000 00100000 01100001
UTF32 (little Endian)
61 20 00 00
01100001 00100000 00000000 00000000
HTML Entity
⁡
URI Encoded
%E2%81%A1

Description

The Unicode character U+2061, known as FUNCTION APPLICATION, is a crucial symbol in digital text encoding, particularly for mathematical and scientific expressions. Its primary role is to denote the application of one function to another, enabling precise expression of complex operations in computer-readable formats. This symbol is especially valuable in programming languages and software applications that require the accurate representation of mathematical or logical processes. Despite its technical nature, the FUNCTION APPLICATION character does not have any specific cultural, linguistic, or regional context due to its universal applicability across various domains of digital communication. Its importance lies in facilitating clear expression and precise computation within the realm of computer science and related fields.

How to type the symbol on Windows

Hold Alt and type 8289 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+2061. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    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 the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+2061 to binary: 00100000 01100001. Those are the payload bits.

  3. 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 10000001 10100001