MAC1140 Lecture 1: Discussion Base How to convert a number to another base
20 Feb 2023
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A number base is the number of digits or combination of digits that a system of counting uses to represent numbers. A base can be any whole number greater than 0. The most commonly used number system is the decimal system, commonly known as base 10. Its popularity as a system of counting is most likely due to the fact that we have 10 fingers. How to convert a number to another base: The general steps for converting a base 10 or "normal" number into another base are: first, divide the number by the base to get the remainder. This remainder is the first, i. e. , least significant, digit of the new number in the other base: then repeat the process by dividing the quotient of step 1, by the new base. This time, the remainder is the second digit, i. e. , the second least significant: repeat this process until your quotient becomes less than the base.
