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To convert a hexadecimal number into its binary equivalent, simply substitute the corresponding binary digits: 3A 16 = 0011 1010 2 E7 16 = 1110 0111 2. To convert a binary number into its hexadecimal equivalent, divide it into groups of four bits. If the number of bits isn't a multiple of four, simply insert extra 0 bits at the left (called ...
If errors in representation and computation are more important than the speed of conversion to and from display, a scaled binary representation may be used, which stores a decimal number as a binary-encoded integer and a binary-encoded signed decimal exponent. For example, 0.2 can be represented as 2 × 10 −1.
The modern binary number system, the basis for binary code, was invented by Gottfried Leibniz in 1689 and appears in his article Explication de l'Arithmétique Binaire. The full title is translated into English as the "Explanation of the binary arithmetic", which uses only the characters 1 and 0, with some remarks on its usefulness, and on the ...
A binary-to-text encoding is encoding of data in plain text. More precisely, it is an encoding of binary data in a sequence of printable characters . These encodings are necessary for transmission of data when the communication channel does not allow binary data (such as email or NNTP ) or is not 8-bit clean .
Rosetta is a dynamic binary translator developed by Apple Inc. for macOS, an application compatibility layer between different instruction set architectures. It enables a transition to newer hardware, by automatically translating software. The name is a reference to the Rosetta Stone, the artifact which enabled translation of Egyptian ...
In computing, binary translation is a form of binary recompilation where sequences of instructions are translated from a source instruction set to the target instruction set. In some cases such as instruction set simulation , the target instruction set may be the same as the source instruction set, providing testing and debugging features such ...
The binary representation of decimal 149, with the LSb highlighted. The LSb represents a value of 1. The unsigned binary representation of decimal 149, with the MSb highlighted. The MSb represents a value of 128. In computing, the least significant bit (LSb) is the bit position in a binary integer representing
One way to increment a Gray code number is to convert it into ordinary binary code, [55] add one to it with a standard binary adder, and then convert the result back to Gray code. [56] Other methods of counting in Gray code are discussed in a report by Robert W. Doran , including taking the output from the first latches of the master-slave flip ...