Примери коришћења Gray code на Енглеском и њихови преводи на Српски
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Number to reflected binary Gray code.
A Gray code absolute rotary encoder with 13 tracks.
However, mathematicians found other types of Gray code.
A Gray code counter was patented in 1962 US3020481, and there have been many others since.
A 1954 patent application refers to"the Bell Telephone Gray code".
Gray code ensures that only one variable changes between each pair of adjacent cells.
However, over the years, mathematicians have discovered other types of Gray code.
Two different 1953 patent applications use"Gray code" as an alternative name for the"reflected binary code";
For example, generating the n= 3 list from the n= 2 list:The one-bit Gray code is G1=(0, 1).
So it makes sense to talk about the reflective Gray code value of a number: G(m)= the m-th reflecting Gray code, counting from 0.
In Guan's algorithm, the count alternately rises andfalls, so that the numeric difference between two Gray code digits is always one.
Although the binary reflected Gray code is useful in many scenarios, it is not optimal in certain cases because of a lack of"uniformity".
In this generalized sense, the Steinhaus-Johnson-Trotter algorithm generates a Gray code for the permutations themselves.
A typical use of Gray code counters is building a FIFO(first-in, first-out) data buffer that has read and write ports that exist in different clock domains.
These characteristics suggest[further explanation needed] a simple andfast method of translating a binary value into the corresponding Gray code.
A Gray code is uniform or uniformly balanced if its transition counts are all equal, in which case we have λ k= R n/ n{\displaystyle\lambda_{ k}= R^{ n}/ n} for all k.
In order to produce the next count value,it is necessary to have some combinational logic that will increment the current count value that is stored in Gray code.
The reflected binary code, also known as Gray code after Frank Gray, is a binary numeral system where two successive values differ in only one bit.
In the Gray system, numbers are expressed in a binary combination of 0s and 1s, butrather than being a standard positional numeral system, Gray code operates on the premise that each value differs from its predecessor by only one(and exactly one) bit changed.
For example, a balanced 4-bit Gray code has 16 transitions, which can be evenly distributed among all four positions(four transitions per position), making it uniformly balanced.
If we define the weight of a binary string to be the number of 1s in the string,then although we clearly cannot have a Gray code with strictly increasing weight, we may want to approximate this by having the code run through two adjacent weights before reaching the next one.
Alternatively, decoding a Gray code into a binary number can be described as a prefix sum of the bits in the Gray code, where each individual summation operation in the prefix sum is performed modulo two.
The reflected binary code(RBC),also known as Gray code after Frank Gray, is a binary numeral system where two successive values differ in only one bit(binary digit).
The Gray code nature is useful compared to, also called, as only one sensor will change at any one time, so the uncertainty during a transition between two discrete states will only be plus or minus one unit of angular measurement the device is capable of resolving.
Two different 1953 patent applications use"Gray code" as an alternative name for the"reflected binary code"; one of those also lists"minimum error code" and"cyclic permutation code" among the names.
Yet another kind of Gray code is the single-track Gray code(STGC) developed by Norman B. Spedding[37][not in citation given][38] and refined by Hiltgen, Paterson and Brandestini in"Single-track Gray codes"(1996).
More generally, combinatorial algorithms researchers have defined a Gray code for a set of combinatorial objects to be an ordering for the objects in which each two consecutive objects differ in the minimal possible way.
Although there can be more than one Gray code for a given word length, the term was first applied to a specific binary code for non-negative integers and called the binary-reflected Gray code or simply the Gray code. .
This can be performed in parallel by a bit-shift and exclusive-or operation if they are available:the nth Gray code is obtained by computing n⊕⌊ n/ 2⌋{\displaystyle n\oplus\lfloor n/2\rfloor} A similar method can be used to perform the reverse translation, but the computation of each bit depends on the computed value of the next higher bit so it cannot be performed in parallel.
There can be more than one Gray code for a given word length, but the term was first applied to a particular binary code for the non-negative integers, the binary-reflected Gray code or BRGC, the four-bit version of which is as follows.