What is log mantissa?

What is log mantissa?

The mantissa is the fractional part of a common logarithm (that is, the base 10 logarithm), which represent the digits of the given number but not its order of magnitude. For example, the mantissa of both log1020≈1.3010 and log10200≈2.3010 is 0.3010.

Who is reputed to have invented the common logarithm?

mathematician John Napier
The Scottish mathematician John Napier published his discovery of logarithms in 1614. His purpose was to assist in the multiplication of quantities that were then called sines.

What is the characteristic of the log of a number which is less than 1?

Characteristic of Logarithm of a Number < 1 In other words, the characteristic of the logarithm of a number less than 1, is always negative and one more than the number of zeros immediately after the decimal point of the number.

How mantissa is calculated?

The mantissa is 23 bits wide and represents the increasing negative powers of 2. For example, if we assume that the mantissa is “1110000000000000000000,” the value of this mantissa is calculated as follows: 2−1 + 2−2 + 2−3 = 7/8.

How do I find the mantissa of a number?

The integral part of a common logarithm is called the characteristic and the non-negative decimal part is called the mantissa. Suppose, log 39.2 = 1.5933, then 1 is the characteristic and 5933 is the mantissa of the logarithm. If log . 009423 = – 3 + .

How do you calculate mantissa?

The decimal equivalent of a floating point number can be calculated using the following formula: Number = ( − 1 ) s 2 e − 127 1 ⋅ f , where s = 0 for positive numbers, 1 for negative numbers, e = exponent ( between 0 and 255 ) , and f = mantissa .

What is mantissa and characteristic?

The integral part of the common logarithm is called the characteristic and the non-negative decimal part is called the mantissa.

What is the value of log 1 to 10?

Log Values from 1 to 10

Log 1 0
Log 7 0.8450
Log 8 0.9030
Log 9 0.9542
Log 10 1

What is Antilogarithm with example?

Scientific definitions for antilogarithm The number whose logarithm is a given number. For example, the logarithm of 1,000 (103) is 3, so the antilogarithm of 3 is 1,000. In algebraic notation, if log x = y, then antilog y = x.

How do you write a mantissa?

In standard scientific notation, the mantissa is always written with one non-zero digit to the left of the decimal point. So, for example, while 847.13×101 is in scientific notation (with a mantissa of 847.13 ) it is not in standard scientific notation which would be 8.4713×103 .