Consider a number N > 0.
Then, let the value of log 10 N consist of two parts:
One an integral part, the other – a proper fraction.
The integral part is called the Characteristic and the fractional or the decimal part is called the Mantissa.
For example, log1015 = 1.176 = 1 + 0.176
In 1.176, the Integral part is “1” and the decimal or fractional part is “0.176” Therefore, for the number log1015: the Characteristic is 1and the Mantissa is 0.176