In computing , bit numbering is the convention used to identify the bit positions in a binary number .
45-426: The IEEE Registration Authority is the administrative body that is responsible for registering and administering organizationally unique identifiers (OUI) and other types of identifiers which are used in the computer and electronics industries (Individual Address Blocks (IAB), Manufacturer IDs, Standard Group MAC Addresses, Unique Registration Numbers (URN), EtherType values, etc.) The IEEE Registration Authority
90-581: A binary numeral using the normal mathematical rules for digit significance .” (See hexadecimal ). “The format of a MAC data frame in which the octets of any MAC addresses conveyed in the MAC user data field have the same bit ordering as in the Hexadecimal Representation.” (See MAC data frame , MAC addresses ) This appears from the context of the IEEE Standard 802-2001 to be another term for
135-399: A decimal integer. Bit indexing correlates to the positional notation of the value in base 2. For this reason, bit index is not affected by how the value is stored on the device, such as the value's byte order . Rather, it is a property of the numeric value in binary itself. This is often utilized in programming via bit shifting : A value of 1 << n corresponds to the n bit of
180-651: A 36-bit OUI-36 with a 4-bit extension. In either case, the extension was assigned by the organization that purchased the OUI. The resulting identifier was generally represented as a set of octets separated by dashes (hexadecimal notation) or colons (bit-reversed notation) as in FF-FF-FF-FF-FF or FF:FF:FF:FF:FF, as a string of 5 bytes as in {FF,FF,FF,FF,FF}, or as a base 16 number as in FFFFFFFFFF 16 . Note: There were also IAB based CDI-40 sequences that were formed by combining
225-514: A MAC data frame in which the octets of MAC addresses conveyed in the MAC user data field have the same bit ordering as in the Bit-reversed representation.” The order in which an octet or a sequence of octets is transmitted over the transmission medium – this order normally corresponds to the bit-reversed representation. Example: An OUI consisting of the hexadecimal digits ACDE48 16 would be represented as follows: The following figure shows
270-589: A Modified EUI-64 has the following format in significance order: Network Address Authority (NAA) Name_Identifier formats define the first nibble (4 bits) to define the format of the identifier: This encapsulation is used in Fibre Channel and SAS, and is also supported in iSCSI in RFC 3980. This addition requires either a shortened vendor-specific identifier field, or some OUI bits are assumed to be 0, such as when using EUI-64 Mapped format. An Individual Address Block (IAB)
315-487: A binary integer (with a value of 2 ). In digital steganography , sensitive messages may be concealed by manipulating and storing information in the least significant bits of an image or a sound file. The user may later recover this information by extracting the least significant bits of the manipulated pixels to recover the original message. This allows the storage or transfer of digital information to remain concealed. [REDACTED] A diagram showing how manipulating
360-448: A specific type of EUI-48 identifier used to address hardware interfaces (e.g., Network Interface Controllers and other network hardware) within existing IEEE 802 based networking applications and should not be used in the future. Instead, the term EUI-48 should be used by manufacturers and others in the field for this purpose – i.e., MAC-48 identifier is identical to the EUI-48 identifier and
405-541: A string of 8 bytes as in {FF,FF,FF,FF,FF,FF,FF,FF}, or as a base 16 number as in FFFFFFFFFFFFFFFF 16 . Note: According to the IEEE guidelines, the first four digits of the organizationally assigned identifier (i.e., the first four digits of the extension identifier) portion of an EUI-64 “shall not be FFFE 16 or FFFF 16 ” (i.e., EUI-64 identifiers of the form ccccccFFFEeeeeee and ccccccFFFFeeeeee are not allowed) – this
450-702: Is a 24-bit number that uniquely identifies a vendor , manufacturer , or other organization. OUIs are purchased from the Institute of Electrical and Electronics (IEEE) Registration Authority by the assignee (IEEE term for the vendor, manufacturer, or other organization). Only assignment from MA-L registry assigns new OUI. They are used to uniquely identify a particular piece of equipments through derived identifiers such as MAC addresses , Subnetwork Access Protocol protocol identifiers, World Wide Names for Fibre Channel devices or vendor blocks in EDID . In MAC addresses,
495-637: Is an inactive registry activity which has been replaced by the MA-S registry product as of 1 January 2014. The IAB uses a MA-L (and OUI) belonging to the IEEE Registration Authority, concatenated with 12 additional IEEE-provided bits (for a total of 36 bits), leaving only 12 bits for the IAB owner to assign to their (up to 4096) individual devices. An IAB is ideal for organizations requiring not more than 4096 unique 48-bit numbers (EUI-48). Unlike an OUI, which allows
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#1732849126454540-451: Is an obsolete label for it, although some distinction is still made when encapsulating MAC-48 and EUI-48 identifiers within EUI-64 identifiers (but now, the encapsulating mechanism is also deprecated). The EUI-48 is an identifier that is formed by concatenating the 24-bit OUI with a 24-bit extension identifier that is assigned by the organization that purchased the OUI – the resulting identifier
585-520: Is called MSb 0 . The value of an unsigned binary integer is therefore LSb of a number can be calculated with time complexity of O ( n ) {\displaystyle O(n)} with formula a & ( ∼ a + 1 ) {\displaystyle a\And (\sim a+1)} , where & {\displaystyle \And } means bitwise operation AND and ∼ {\displaystyle \sim } means bitwise operation NOT on
630-545: Is generally represented as a set of octets separated by dashes (hexadecimal notation) or colons (bit-reversed notation) as in FF-FF-FF-FF-FF-FF or FF:FF:FF:FF:FF:FF, as a string of 6 bytes as in {FF,FF,FF,FF,FF,FF}, or as a base 16 number as in FFFFFFFFFFFF 16 . The EUI-60 is an identifier that is formed by concatenating the 24-bit OUI with a 36-bit extension identifier that is assigned by the organization that purchased
675-463: Is in this case -128+2 = -126. The expressions most significant bit first and least significant bit at last are indications on the ordering of the sequence of the bits in the bytes sent over a wire in a serial transmission protocol or in a stream (e.g. an audio stream). Most significant bit first means that the most significant bit will arrive first: hence e.g. the hexadecimal number 0x12 , 00010010 in binary representation, will arrive as
720-466: Is to support the encapsulation of EUI-48 (FFFE 16 ) and MAC-48 (FFFF 16 ) values into EUI-64 values (though now the encapsulation is deprecated). IPv6 uses a 64-bit Modified Extended Unique Identifier ( Modified EUI-64 ) in the lower half of some IPv6 addresses. A Modified EUI-64 is an EUI-64 with the U/L bit inverted. There are other identifiers that may be formed using the OUI but those listed above are
765-409: Is universally or locally administered (e.g., Universal/Local [U/L] bit), etc., and should not contain the values 1, 2, 3, 5, 6, 7, 9, a, b, d, e, or f, unless these values reflect the true meaning of these flag bits – if the organization that owns the OUI does set one of these bits when creating an identifier, then the value of the second nibble of the first octet changes accordingly in representations of
810-464: The 'Hexadecimal Representation' – i.e., “by interpreting the bits of the octet value as a binary numeral using the normal mathematical rules for digit significance.” “The representation of a sequence of octet values in which the values of the individual octets are displayed in order from left to right, with each octet value represented as a two-digit hexadecimal numeral, and with the resulting pairs of hexadecimal digits separated by colons . The order of
855-464: The 36-bit IEEE assigned IAB base value with the 4-bit extension identifier assigned by the organization – e.g., if the IEEE assigned IAB base value is 0x0050C257A and the 4-bit extension identifier is 0xF, then the CDI-40 values generated by combining these two numbers are from 0x0050C257AF00 to 0x0050C257AFFF The IEEE now considers the label MAC-48 to be an obsolete term which was previously used to refer to
900-650: The EUI-60 was previously used. Some of the storage systems in which an OUI based variant was used are Fibre Channel , and Serial Attached SCSI (SAS). The EUI-64 is an identifier that is formed by concatenating the 24-bit OUI with a 40-bit extension identifier that is assigned by the organization that purchased the OUI – the resulting identifier is generally represented as a set of octets separated by dashes (hexadecimal notation) or colons (bit-reversed notation) as in FF-FF-FF-FF-FF-FF-FF-FF or FF:FF:FF:FF:FF:FF:FF:FF, as
945-408: The OUI (e.g., if the hexadecimal value of the second nibble of the first octet is 'C' and the least-significant-bit is set, then the value becomes 'D'). Notes: The CDI-32 was historically recommended as context dependent identifier that was formed by concatenating the 24-bit OUI with an 8-bit extension identifier that is assigned by the organization that purchased the OUI – the resulting identifier
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#1732849126454990-482: The OUI is combined with a 24-bit number (assigned by the assignee of the OUI) to form the address. The first three octets of the address are the OUI. The following terms are defined (either implicitly or explicitly) in IEEE Standard 802-2001 for use in referring to the various representations and formats of OUIs and the identifiers that may be created using them. “The representation of a sequence of octet values in which
1035-407: The OUI of AC-DE-48 and that the organization has created the EUI-48 value of AC-DE-48-23-45-67 by concatenating the extension identifier 23-45-67, this EUI-48 identifier has the following format in significance order: The same EUI-48 identifier after encapsulation within an EUI-64 has the following format in significance order: Encapsulation of MAC-48 or EUI-48 within modified EUI-64 example: In
1080-570: The OUI of AC-DE-48 and that the organization has created the MAC-48 value of AC-DE-48-23-45-67 by concatenating the extension identifier 23-45-67, this MAC-48 identifier has the following binary transmission order: The same MAC-48 identifier after encapsulation within an EUI-64 has the following transmission order: The same MAC-48 identifier after encapsulation within an EUI-64 has the following significance order: Encapsulation of EUI-48 within EUI-64 example: Assuming that an organization has registered
1125-399: The OUI value 00:50:C2 was used for IAB assignments. After September 2012, the value 40:D8:55 was used. The owners of an already assigned IAB may continue to use the assignment. The OUI-36 is a deprecated registry activity name, which has been replaced by the MA-S registry product name as of 1 January 2014. This registry activity includes both a 36-bit unique number used in some standards and
1170-507: The OUI – the resulting identifier is generally represented by a string of 15 nibbles, as a base 16 number as in FFFFFFFFFFFFFFF 16 , or as FF-FF-FF:F.F.F.F.F.F.F.F.F as an EUI-64 value. Note: This identifier was previously used as the worldwide name (WWN) identifier within some storage systems. Its use is now considered deprecated by the IEEE and the EUI-64 identifier should be used in the future for this and all other purposes for which
1215-418: The advantage that for any unsigned number the value of the number can be calculated by using exponentiation with the bit number and a base of 2. The value of an unsigned binary integer is therefore where b i denotes the value of the bit with number i , and N denotes the number of bits in total. When the bit numbering starts at zero for the most significant bit (MSb) the numbering scheme
1260-560: The assignee to assign values in various different number spaces (for example, EUI-48, EUI-64, and the various context-dependent identifier number spaces), the Individual Address Block could only be used to assign EUI-48 identifiers. All other potential uses based on the OUI from which the IABs are allocated are reserved, and remain the property of the IEEE Registration Authority. It should also be noted that, between 2007 and September 2012,
1305-403: The assignment of a block of EUI-48 and EUI-64 identifiers (while owner of IAB cannot assign EUI-64) by the IEEE Registration Authority. The owner of an already assigned OUI-36 registry product may continue to use the assignment. Example of EUI-48 created within an IAB: An EUI-48 identifier is formed by combining the 36-bit IEEE assigned IAB base value with a 12-bit extension identifier assigned by
1350-426: The bytes over the wire with the most significant bit first, confusion may arise when an OUI in the latter scenario is represented with bits reversed from the canonical representation. So for instance, an OUI whose canonical form is ACDE48 could be seen written as 357B12 if translation is done improperly or inconsistently. The latter form ( bit-reversed or noncanonical representation), may also be referred to in
1395-455: The encapsulation within a Modified EUI-64 a MAC-48 is treated as an EUI-48 and the U/L bit is inverted. Assuming that an organization has registered the OUI of AC-DE-48 and that the organization has created the MAC-48 or EUI-48 value of AC-DE-48-23-45-67 by concatenating the extension identifier 23-45-67, this MAC-48 or EUI-48 identifier has the following format in significance order: The same MAC-48 or EUI-48 identifier after encapsulation within
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1440-404: The first octet of the hexadecimal representation (i.e., the two least significant bits of the first octet) of the OUI are reserved as flag bits for some protocols (e.g., 'M' bit and 'X' bit), flags to indicate whether the address is part of an individual (unicast) or group (multicast) address block (e.g., Individual/Group [I/G] bit or Unicast/Multicast [U/M] bit), flags to indicate whether an address
1485-489: The hexadecimal digits in each pair, and the mapping between the hexadecimal digits and the bits of the octet value, are derived by reversing the order of the bits in the octet value and interpreting the resulting bit sequence as a binary numeral using the normal mathematical rules for digit significance.” The bit-reversed representation corresponds to the convention of transmitting the least-significant-bit of each byte first in serial data communications . “The format of
1530-463: The highest-order place of the binary integer. The LSb is sometimes referred to as the low-order bit or right-most bit , due to the convention in positional notation of writing less significant digits further to the right. The MSb is similarly referred to as the high-order bit or left-most bit . In both cases, the LSb and MSb correlate directly to the least significant digit and most significant digit of
1575-473: The larger identifier – this process is known as 'encapsulation' and is provided for the purpose of easing the transition from MAC-48 and EUI-48 to EUI-64 and to provide a mechanism for the conversion of MAC-48 and EUI-48 identifiers to EUI-64 in such a way that duplicate or conflicting values are avoided. Encapsulation of MAC-48 within EUI-64 Example: Assuming that an organization has registered
1620-429: The least significant bits of a color can have a very subtle and generally unnoticeable affect on the color. In this diagram, green is represented by its RGB value, both in decimal and in binary. The red box surrounding the last two bits illustrates the least significant bits changed in the binary representation. This table illustrates an example of decimal value of 149 and the location of LSb. In this particular example,
1665-405: The literature as "MSB format", "IBM format", or "Token Ring format" for this reason. RFC2469 explains the problem in more detail. The OUI is normally discussed and represented as a set of octets in hexadecimal notation separated by dashes (i.e., FF-FF-FF) or as a set of octets separated by colons in bit-reversed notation (i.e., FF:FF:FF). The two least-significant-bits of the second nibble of
1710-407: The most commonly used. Mapping an EUI-48 to an EUI-64 is deprecated. The mapping is described here for historical reasons. Other identifiers, such as MAC-48 and EUI-48 values, can be contained within a larger identifier or 'container', such as EUI-64, by creating the larger identifier through a process of combining the smaller identifier with specified values placed in specified bit-positions within
1755-444: The organization – e.g., if the IEEE assigned IAB base-16 value is 0x0050C257A and the 12-bit extension identifier is 0xFFF, then the EUI-48 value generated by combining these two numbers is 0x0050C257AFFF. Least significant bit In computing , the least significant bit ( LSb ) is the bit position in a binary integer representing the binary 1s place of the integer. Similarly, the most significant bit ( MSb ) represents
1800-442: The position of these bits in significance order: Notes: Ethernet users are used to seeing canonical form , such as in the output of the ifconfig command. Canonical form is the intended standard. However, since IEEE 802.3 (Ethernet) and IEEE 802.4 ( Token Bus ) send the bytes (octets) over the wire, left-to-right, with least significant bit in each byte first, while IEEE 802.5 ( Token Ring ) and IEEE 802.6 ( FDDI ) send
1845-477: The position of unit value (decimal 1 or 0) is located in bit position 0 (n = 0). MSb stands for most significant bit , while LSb stands for least significant bit . This table illustrates an example of an 8 bit signed decimal value using the two's complement method. The MSb most significant bit has a negative weight in signed integers, in this case -2 = -128. The other bits have positive weights. The lsb ( least significant bit ) has weight 2 =1. The signed value
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1890-432: The sequence 0 0 0 1 0 0 1 0 . Least significant bit first means that the least significant bit will arrive first: hence e.g. the same hexadecimal number 0x12 , again 00010010 in binary representation, will arrive as the (reversed) sequence 0 1 0 0 1 0 0 0 . When the bit numbering starts at zero for the least significant bit (LSb) the numbering scheme is called LSb 0 . This bit numbering method has
1935-416: The values of the individual octets are displayed in order from left to right, with each octet value represented as a two-digit hexadecimal numeral, and with the resulting pairs of hexadecimal digits separated by hyphens . The order of the hexadecimal digits in each pair, and the mapping between the hexadecimal digits and the bits of the octet value, are derived by interpreting the bits of the octet value as
1980-550: Was formed in 1986 in response to a need for this service that was recognized by the P802 (LAN/MAN) standards group. The IEEE Registration Authority is currently recognized by ISO / IEC as the authorized registration authority to provide the service of globally assigning, administering, and registering OUIs. This engineering-related article is a stub . You can help Misplaced Pages by expanding it . Organizationally unique identifier An organizationally unique identifier ( OUI )
2025-516: Was generally represented as a set of octets separated by dashes (hexadecimal notation) or colons (bit-reversed notation) as in FF-FF-FF-FF or FF:FF:FF:FF, as a string of 4 bytes as in {FF,FF,FF,FF}, or as a base 16 number as in FFFFFFFF 16 . The CDI-40 was historically recommended as context dependent identifier that was formed by concatenating the 24-bit OUI with a 16-bit extension or by concatenating
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