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In August 1908, a white mob attacked Springfield, Illinois’s Black community, destroying homes and businesses and lynching two Black men. National outrage over the violence helped spur the movement that created the NAACP the following year.
MORE →Reflects the personal views, recollections, and perspective of the author, Mike Davis.
This is a personal recollection on the Move fire on May 13, 1985
Consistent Overhead Byte Stuffing (COBS) is an algorithm for encoding data bytes that results in efficient, reliable, unambiguous packet framing regardless of packet content, thus making it easy for receiving applications to recover from malformed packets. It employs a particular byte value, typically zero, to serve as a packet delimiter (a special value that indicates the boundary between packets). When zero is used as a delimiter, the algorithm replaces each zero data byte with a non-zero value so that no zero data bytes will appear in the packet and thus be misinterpreted as packet boundaries.
Byte stuffing is a process that transforms a sequence of data bytes that may contain 'illegal' or 'reserved' values (such as packet delimiter) into a potentially longer sequence that contains no occurrences of those values. The extra length of the transformed sequence is typically referred to as the overhead of the algorithm. HDLC framing is a well-known example, used particularly in PPP (see RFC 1662 § 4.2). Although HDLC framing has an overhead of <1% in the average case, it suffers from a very poor worst-case overhead of 100%; for inputs that consist entirely of bytes that require escaping, HDLC byte stuffing will double the size of the input.
The COBS algorithm, on the other hand, tightly bounds the worst-case overhead. COBS requires a minimum of 1 byte overhead, and a maximum of ⌈n/254⌉ bytes for n data bytes (one byte in 254, rounded up). Consequently, the time to transmit the encoded byte sequence is highly predictable, which makes COBS useful for real-time applications in which jitter may be problematic. The algorithm is computationally inexpensive, and in addition to its desirable worst-case overhead, its average overhead is also low compared to other unambiguous framing algorithms like HDLC.[1][2] COBS does, however, require up to 254 bytes of lookahead. Before transmitting its first byte, it needs to know the position of the first zero byte (if any) in the following 254 bytes.
A 1999 Internet Draft proposed to standardize COBS as an alternative for HDLC framing in PPP, due to the aforementioned poor worst-case overhead of HDLC framing.[3]
When packetized data is sent over any serial medium, some protocol is required to demarcate packet boundaries. This is done by using a framing marker, a special bit-sequence or character value that indicates where the boundaries between packets fall. Data stuffing is the process that transforms the packet data before transmission to eliminate all occurrences of the framing marker, so that when the receiver detects a marker, it can be certain that the marker indicates a boundary between packets.
COBS transforms an arbitrary string of bytes in the range [0,255] into bytes in the range [1,255]. Having eliminated all zero bytes from the data, a zero byte can now be used to unambiguously mark the end of the transformed data. This is done by appending a zero byte to the transformed data, thus forming a packet consisting of the COBS-encoded data (the payload) to unambiguously mark the end of the packet.
(Any other byte value may be reserved as the packet delimiter, but using zero simplifies the description.)

There are two equivalent ways to describe the COBS encoding process:
These examples show how various data sequences would be encoded by the COBS algorithm. In the examples, all bytes are expressed as hexadecimal values, and encoded data is shown with text formatting to illustrate various features:
| Example | Unencoded data (hex) | Data bytes | Encoded with COBS (hex) |
|---|---|---|---|
| 1 | 00 | 1 | 01 01 00 |
| 2 | 00 00 | 2 | 01 01 01 00 |
| 3 | 00 11 00 | 3 | 01 02 11 01 00 |
| 4 | 11 22 00 33 | 4 | 03 11 22 02 33 00 |
| 5 | 11 22 33 44 | 4 | 05 11 22 33 44 00 |
| 6 | 11 00 00 00 | 4 | 02 11 01 01 01 00 |
| 7 | 01 02 03 ... FD FE | 254 | FF 01 02 03 ... FD FE 00 |
| 8 | 00 01 02 ... FC FD FE | 255 | 01 FF 01 02 ... FC FD FE 00 |
| 9 | 01 02 03 ... FD FE FF | 255 | FF 01 02 03 ... FD FE 02 FF 00 |
| 10 | 02 03 04 ... FE FF 00 | 255 | FF 02 03 04 ... FE FF 01 01 00 |
| 11 | 03 04 05 ... FF 00 01 | 255 | FE 03 04 05 ... FF 02 01 00 |
Below is a diagram using example 4 from above table, to illustrate how each modified data byte is located, and how it is identified as a data byte or an end of frame byte.
[OHB] : Overhead byte (Start of frame)
3+ -------------->| : Points to relative location of first zero symbol
2+-------->| : Is a zero data byte, pointing to next zero symbol
[EOP] : Location of end-of-packet zero symbol.
0 1 2 3 4 5 : Byte Position
03 11 22 02 33 00 : COBS Data Frame
11 22 00 33 : Extracted Data
OHB = Overhead Byte (Points to next zero symbol)
EOP = End Of Packet
Examples 7 through 10 show how the overhead varies depending on the data being encoded for packet lengths of 255 or more.
The following code implements a COBS encoder and decoder in the C programming language, processing data byte by byte.
#include <stddef.h>
#include <stdint.h>
#include <assert.h>
/** COBS encode data to buffer
@param data Pointer to input data to encode
@param length Number of bytes to encode
@param buffer Pointer to encoded output buffer
@return Encoded buffer length in bytes
@note Does not output delimiter byte
*/
size_t cobsEncode(const void *data, size_t length, uint8_t *buffer)
{
assert(data && buffer);
uint8_t *encode = buffer; // Encoded byte pointer
uint8_t *codep = encode++; // Output code pointer
uint8_t code = 1; // Code value
for (const uint8_t *byte = (const uint8_t *)data; length--; ++byte)
{
if (*byte) // Byte not zero, write it
*encode++ = *byte, ++code;
if (!*byte || code == 0xff) // Input is zero or block completed, restart
{
*codep = code, code = 1, codep = encode;
if (!*byte || length)
++encode;
}
}
*codep = code; // Write final code value
return (size_t)(encode - buffer);
}
/** COBS decode data from buffer
@param buffer Pointer to encoded input bytes
@param length Number of bytes to decode
@param data Pointer to decoded output data
@return Number of bytes successfully decoded
@note Stops decoding if delimiter byte is found
*/
size_t cobsDecode(const uint8_t *buffer, size_t length, void *data)
{
assert(buffer && data);
const uint8_t *byte = buffer; // Encoded input byte pointer
uint8_t *decode = (uint8_t *)data; // Decoded output byte pointer
for (uint8_t code = 0xff, block = 0; byte < buffer + length; --block)
{
if (block) // Decode block byte
*decode++ = *byte++;
else
{
block = *byte++; // Fetch the next block length
if (block && (code != 0xff)) // Encoded zero, write it unless it's delimiter.
*decode++ = 0;
code = block;
if (!code) // Delimiter code found
break;
}
}
return (size_t)(decode - (uint8_t *)data);
}
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Consistent Overhead Byte Stuffing (COBS) is an algorithm for encoding data bytes that results in efficient, reliable, unambiguous packet framing regardless of packet content, thus making it easy for receiving applications to recover from malformed packets. It employs a particular byte value, typically zero, to serve as a packet delimiter (a special value that indicates the boundary between packets). When zero is used as a delimiter, the algorithm replaces each zero data byte with a non-zero value so that no zero data bytes will appear in the packet and thus be misinterpreted as packet boundaries. Byte stuffing is a process that transforms a sequence of data bytes that may contain 'illegal' or 'reserved' values (such as packet delimiter) into a potentially longer sequence that contains no occurrences of those values. The extra length of the transformed sequence is typically referred to as the overhead of the algorithm. HDLC framing is a well-known example, used particularly in PPP (see RFC 1662 § 4.2). Although HDLC framing has an overhead of
COBS may refer to: Consistent Overhead Byte Stuffing Adenosylcobinamide-GDP ribazoletransferase (CobS), an enzyme Comet Observation Database
A bit-oriented protocol is a communications protocol that sees the transmitted data as an opaque stream of bits with no semantics, or meaning. Control codes are defined in terms of bit sequences instead of characters. Bit oriented protocol can transfer data frames regardless of frame contents. It can also be stated as "bit stuffing". Synchronous framing High-Level Data Link Control may work like this: Each frame begins and ends with a special bit pattern 01111110, called a flag byte. A bit stuffing technique is used to prevent the receiver from detecting the special flag byte in user data e.g. whenever the sender's data link layer encounters 5 consecutive 1 (one) in the data, it automatically stuffs 0 into the outgoing stream.
In data transmission and telecommunications, bit stuffing (also known—uncommonly—as positive justification) is the insertion of non-information bits into data. Stuffed bits should not be confused with overhead bits. Bit stuffing refers to adding extra bits that do not contain any actual information into the data stream. These stuffed bits are different from overhead bits. Overhead bits are also non-data bits, but they are required for transmission, such as those used in headers, checksums, and other control information. Bit stuffing is used for various purposes, such as for bringing bit streams that do not necessarily have the same or rationally related bit rates up to a common rate, or to fill buffers or frames. The location of the stuffing bits is communicated to the receiving end of the data link, where these extra bits are removed to return the bit streams to their original bit rates or form. Bit stuffing may be used to synchronize several channels before multiplexing or to rate-match two single channels to each other. Another use of bit stuffing is for run length limited coding: to limit the number of consecutive bits of the same value in the data to be transmitted. A bit of the opposite value is inserted after the maximum allowed number of consecutive bits. Since this is a general rule the receiver doesn't need extra information about the location of the stuffing bits in order to do the de-stuffing. This is done to create additional signal transitions to ensure reliable reception or to escape special reserved code words such as frame sync sequences when the data happens to contain them. This technique is particularly useful in situations where data frames are transmitted over unreliable channels, such as wireless networks or noisy copper wires. Bit stuffing does not ensure that the payload is intact (i.e. not corrupted by transmission errors); it is merely a way of attempting to ensure that the transmission starts and ends at the correct places. Error detection and correction techniques are used to check the frame for corruption after its delivery and, if necessary, the frame will be re-sent.
Before the 1921 destruction of Tulsa’s Greenwood District, Black residents had created a remarkable center of business and community life. The district included stores, professional offices, entertainment venues and homes owned by Black citizens. Understanding Greenwood means learning what was built—not only what was burned.
MORE →Brown v. Board of Education in 1954.