Standard for Binary Floating Point Arithmetic.įrom cs.uaf.edu notes on IEEE Floating Point Standard, "Fraction" is generally referenced as Mantissa. If E=2047 and F is zero and S is 0, then V=Infinity.If E=2047 and F is zero and S is 1, then V=-Infinity.If E=2047 and F is nonzero, then V=NaN ("Not a number").The final 52 bits are the fraction 'F': S EEEEEEEEEEE FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF The next eleven bits are the exponent bits, 'E', and The IEEE double precision floating point standard representation requires a 64 bit word, which may be represented as numbered from 0 to 63, left to right. If E=0 and F is zero and S is 0, then V=0.If E=0 and F is zero and S is 1, then V=-0.Intended to represent the binary number created by prefixing F with an If E=255 and F is zero and S is 0, then V=Infinity.If E=255 and F is zero and S is 1, then V=-Infinity.If E=255 and F is nonzero, then V=NaN ("Not a number").The value V represented by the word may be determined as follows: The final 23 bits are the fraction 'F': S EEEEEEEE FFFFFFFFFFFFFFFFFFFFFFF The next eight bits are the exponent bits, 'E', and The IEEE single precision floating point standard representation requires a 32 bit word, which may be represented as numbered from 0 to 31, left to right. The IEEE double-precision format actually has more than twice as many bits of precision as the single-precision format, as well as a much greater range.įrom the IEEE standard for floating point arithmetic Most computers use a standard format known as the IEEE floating-point format. The exact amount by which the precision and range of magnitudes are increased depends on what format the program is using to represent floating-point values. The extra bits increase not only the precision but also the range of magnitudes that can be represented. The word double derives from the fact that a double-precision number uses twice as many bits as a regular floating-point number.įor example, if a single-precision number requires 32 bits, its double-precision counterpart will be 64 bits long. The term double precision is something of a misnomer because the precision is not really double. Many games took advantage of the chip's 32-bit processing mode as the greater data precision available with 64-bit data types is not typically required by 3D games, as well as the fact that processing 64-bit data uses twice as much RAM, cache, and bandwidth, thereby reducing the overall system performance. So if you assign a value which is not in this range, then the compiler would give an error.Note: the Nintendo 64 does have a 64-bit processor, however: The compiler will give an error if the value goes out of datatype's permitted range.įor example, int data type's range is -2,147,483,648 to 2,147,483,647. a,*, \x0058 (hex), or\u0058 (Unicode)Īs you can see in the above table that each data type (except string and object) includes value range.
0 Comments
Leave a Reply. |