part of a common logarithm
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whats is the mantissa of logarithm
The fractional part of a logarithm is called the Mantissa.
Here is how you are supposed to solve this: Write the mantissa - in this case 5.75. Now, move the decimal point nine positions to the right (in this case, since the exponent is nine), filling out with zeros when you run out of digits. Note: If you have a number with negative exponents, you move the decimal point to the left instead.
Firstly, IEEE is not a standard, it is an organisation (the Institute of Electrical and Electronics Engineers). The IEEE Standards Organisation is responsible for the standardisation activities of the IEEE. As such, there are many IEEE standards.There are two official IEEE standards covering 32-bit binary values:IEEE 754-1985 (single)IEEE 754-2008 (binary32)IEEE 754-2008 single-precision binary floating-point format: binary32The high-order bit always denotes the sign (0 for positive, 1 for negative).The next 8 bits denote the exponent. This can either be notated in twos-complement (-128 to +127) or 127-biased (0 to 255). IEEE 754-2008 (binary32) uses the 127-biased form.The low-order 23 bits denote the normalised mantissa. There's actually 24 bits in the mantissa but the high-order bit is always 1 and can therefore be implied rather than stored.The decimal precision that can be obtained from an IEEE 754-2008 (binary32) value is usually in the order of 6 to 9 digits of precision, depending on the implementation.
Division by a negative exponent is the same as multiplication by its positive counterpart. So the question becomes one of multiplying one positive exponent by another positive exponent. If the mantissa (bases) are the same, then you simply add the exponents: 34 / 3-7 = 34 * 3+7 = 34+7 = 311 If the bases are not the same, but the exponents have the same value (though second one negative), then multiply the bases and raise to the common exponent: 34 / 5-4 = 34 * 54 = (3*5)4 = 154 You may need to do some preliminary calculations to bring the numbers into one or the other of these forms. 34 / 16-2 = 34 * 162 = 34 * 44 = (3*4)4 = 124