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It is somewhat complicated (search for the IEEE floating-point representation for more details), but the basic idea is that you have a few bits for the base, and a few bits for the exponent. The numbers are stored in binary, not in decimal, so the base and the exponent are the numbers "a" and "b" in a x 2b.
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How are floating point numbers handled as binary numbers?
Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).Floating point numbers are typically stored as numbers in scientific notation, but in base 2. A certain number of bits represent the mantissa, other bits represent the exponent. - This is a highly simplified explanation; there are several complications in the IEEE floating point format (or other similar formats).
What is the mantissa of a floating point number?
The mantissa - also known as a significand or coefficient - is the part of a floating-point number which contains the significant digits of that number. In the common IEEE 754 floating point standard, the mantissa is represented by 53 bits of a 64-bit value (double) and 24 bits of a 32-bit value (single).
What is radix in floating point representation?
In all number bases, the radix simply represents the point that separates the integer component from the fractional component in a real number. In decimal notation, the radix is more commonly called a decimal point.
Square root of a double complex number?
Do you mean like a double floating point number, which is a complex number; or a double matrix type number like in the related link on springerlink.com
How can the decimal real number 1385.58 be represented as a 6-digit integer in floating point notation?
138558 x 10-2
