Fractions

Complexity: Standard

<h1><strong>FRACTIONS </strong></h1> CONTENT <ol> <li>Definition and Types of Fractions</li> <li>Conversion of Fraction to Decimal and Vice Versa</li> <li>Conversion of Fractions to Percentages and Vice Versa</li> <li>Quantitative Aptitude on Fractions</li> </ol> <br> <h2><strong>What are fractions?</strong></h2> Fractions are portion or part of whole number that describes quantities. ExamplesConsider the shapes below:<img class="size-full wp-image-23522 aligncenter" src="https://classhall.com/wp-content/uploads/2018/06/fractions.jpg" alt="Fractions" width="490" height="150" /> <h2><strong>Types of Fractions</strong></h2> Fractions are divided into four basic types:(i) <strong>A Proper Fraction</strong>It is a fraction having both numerator and denominator. And such is said to be rational. In a proper fraction, its numerator is smaller in quantity than its denominator. We can use a funny example to explain. Suppose a 15 years old boy is made to carry on his head two small tubers of yam. We can see that he can comfortably and conveniently carry them without feeling the heaviness of the weight of the tubers, on his neck. If we let the boy be the denominator and the two tubers of yam to be numerator, we can reason or compare that the <strong><em>numerator</em></strong> (the yam tubers) and the 15 year-old boy (the <strong><em>denominator</em></strong>) are not equal in weight. Obviously in this example the numerator is lighter than the denominator. It is a proper thing for anyone to do when placing loads on a child’s head. The load on a child’s head should not be heavier than the body mass of that child. So, it is proper. That is exactly what a <strong>proper fraction</strong> looks like.Examples of <strong>proper fractions</strong> are : \(\frac{4}{19}, \frac{1}{13}, \frac{12}{13}, \frac{43}{81}, \frac{34}{43}, \frac{122}{123}, \frac{72}{144},\) etc.(ii)<strong> An Improper Fraction</strong>

Counting in Base 2

Complexity: Standard

Unfortunately we could not locate the table you're looking for.<h1><strong>COUNTING IN BASE 2</strong></h1> CONTENT <ol> <li>Number Bases</li> <li>Counting in Group of Twos</li> <li>Conversion from Base 10 Numerals to Binary Numbers</li> <li>Conversion from Binary to Decimal</li> </ol>   <h2><strong>Number Bases</strong></h2> In Mathematics, a <strong>base</strong> or <strong>radix</strong> is the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system. Because "dec" means 10, it uses the 10 digits from 0 to 9. Most people think that we most often use base 10 because we have 10 fingers.A base can be any whole number bigger than 0 (if it was 0, then there would be no digits). The base of a number may be written next to the number: for instance, 23<sub>8</sub> means 23 in base 8 (which is equal to 19 in base 10).The popularity of the base 2, 8 and 16 is because of its use in modern technology.  <h2><strong>Counting in Groups of Twos (Binary)</strong></h2> A Binary Number is made up of only <strong>0</strong>s and <strong>1</strong>s. An example is 110100

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