Quicker Maths
12Mar/110

How to convert from decimal to other number systems

This post will be of special interest for people who are regularly in touch with mathematics. Students preparing for competitive examinations usually have Base System (Number Systems) in the list of their topics under quantitative aptitude. You can suggest any addition to the post below by posting a comment or mailing me at vineetpatawari[at]gmail[dot]com. If you have any queries post it as comment.

Conversion from decimal to binary and other number bases

In order to convert a decimal number into its representation in a different number base, we have to be able to express the number in terms of powers of the other base. For example, if we wish to convert the decimal number 100 to base 4, we must figure out how to express 100 as the sum of powers of 4.

4Jan/106

Comparison of Fractions

Comparison of fractions: Suppose, some fractions are to be arranged in ascending or descending order of magnitude.

Fractions can be compared in many ways. Find below 4 different ways of doing it. If denominators are same, like 56/98 and 57/98, then just compare the numerators,
So the rule is:
a         b
--- > ---,       if  a > b
n         n
Since 56 < 57,
56/98 < 57/98.