Download e-book for kindle: Mastering Mathematics for Electrical and Electronic by Noel M. Morris (auth.)

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Additional info for Mastering Mathematics for Electrical and Electronic Engineering

Example text

1850 We determine the antilogarithm of the product either by using a calculator or a set of antilogarithm tables as follows. 0005. 7447 The left-hand set of logarithms shown above assumes that we are using a set of common logarithm tables, whilst the right-hand solution assumes that we are using a calculator. When dealing with the left-hand set of logarithms, we simply add the mantissae as normal positive values, and the carry of I from the fractional part simply cancels 1 from the sum of the 'bar' values, making 4 into 3 in the solution.

We will look in detail at some of them below. 1, we see that OJJOJ2 = (0 X 24) + (J X 23) + (J X 22) + (0 Xi)+ (1 X 2°) That is, binary 01101 is equivalent to decimal 13. Numbers and numbering systems 25 The 'length' of the largest number a computer can handle is known as the word length of the computer. ); today a word length of four bytes (32 bits) or greater is used in many systems. When the value of the number reaches the radix of the system (or an integer multiple of the radix), the next higher-order digit is introduced.

1. 00701. 2 we saw that number= baselogarithm That is, the value of a number is equal to the base raised to the logarithm of the number. 699 then, using a calculator, we can show that number = 101. 699 = 50 The process of determining the value of a number from its logarithm is known as taking the antilogarithm of the logarithm. 5 Multiplication using common logarithms Multiplication is carried out by adding the logarithms of the numbers, and taking the antilogarithm of the answer. 3 is obtained as follows.

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