By Noel M. Morris (auth.)
ISBN-10: 0333593596
ISBN-13: 9780333593592
ISBN-10: 1349131938
ISBN-13: 9781349131938
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Additional resources for Mastering Mathematics for Electrical and Electronic Engineering
Example text
2, the first two having positive weights, the third having a negative weight for one of the columns. The value of a 'I' in any column is multiplied by the 'weight' associated with that column (note: the 'weight' is a decimal value). 3. 10 0 0 0 0 0 1 1 0 1 0 I 0 1 0 0 1 1 0 1 0 1 0 I 0 1 0 Addition of numbers For the sum x+y=z x is called the augend, y the addend and z the sum. If the sum exceeds the value of the radix, a carry is produced. For example 310 310 + 610 = sum of 910 and no carry + 9w = sum of 2 and a carry of 1 30 Mastering Mathematics for Electrical and Electronic Engineering When two digits are added, the carry never exceeds 1.
If the msb is 'I', the number is negative and is stored in a binary complement form. The two types of binary complement notation are the one's complement and the two's complement (or true complement) form. 12. In subtraction, b - c = d, where b is the minuend, c the subtrahend, and d the difference. To subtract c from b, we add the 2's complement of c to b. If the resulting sign bit is '0', the result is the true difference. If the sign bit is 'I', the result is negative and is stored in binary complement form.
When adding or subtracting fractions, they must have a common denominator. The lowest common denominator (LCD) is the LCM of the denominators. To multiply fractions, the numerators are multiplied to give a resultant numerator, and the denominators are multiplied to give a resultant denominator. If possible, the fraction should be simplified. To divide fractions, the division sign is changed to a multiplication sign, and the dividing fraction is inverted. When a value is written as 35, the number 3 is the base and 5 is the index or power.
Mastering Mathematics for Electrical and Electronic Engineering by Noel M. Morris (auth.)
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