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The Motorola 6800 microprocessor was the first for which an undocumented assembly mnemonic HCF became widely known. The operation codes (opcodes—the portions of the machine language instructions that specify an operation to be performed) hexadecimal 9D and DD were reported and given the unofficial mnemonic HCF in a December 1977 article by Gerry Wheeler in BYTE magazine on undocumented ...
Synonyms for GCD include greatest common factor (GCF), highest common factor (HCF), highest common divisor (HCD), and greatest common measure (GCM). The greatest common divisor is often written as gcd( a , b ) or, more simply, as ( a , b ) , [ 3 ] although the latter notation is ambiguous, also used for concepts such as an ideal in the ring of ...
The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.
In the imperative programming style, the same algorithm becomes, giving a name to each intermediate remainder: r 0 := a r 1 := b for (i := 1; r i ≤ 0; i := i + 1) do r i+1 := rem(r i−1, r i) end do return r i-1. The sequence of the degrees of the r i is strictly decreasing. Thus after, at most, deg(b) steps, one get a null remainder, say r k.
6809 programming model, showing the processor registers. The original 6800 included two 8-bit accumulators, A and B, a single 16-bit index register, X, a 16-bit program counter, PC, a 16-bit stack pointer, SP, and an 8-bit status register. The 6809 added a second index register, Y, a second stack pointer, U (while renaming the original S), and ...
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In number theory, two integers a and b are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. [1] Consequently, any prime number that divides a does not divide b, and vice versa.
This list of JVM Languages comprises notable computer programming languages that are used to produce computer software that runs on the Java virtual machine (JVM). Some of these languages are interpreted by a Java program, and some are compiled to Java bytecode and just-in-time (JIT) compiled during execution as regular Java programs to improve performance.