Learning Hex Math

The 5 is in the 1 position so that means 5.

Learning hex math. Base 16 often called the hexadecimal. Hexadecimal is widely used in computer science because it is relatively easy to convert between hex and binary notation for numbers and hex is much easier to remember than binary. In mathematics and computer science hexadecimal is a positional numeral system with a base of 16. What i want to show you in this video is a fairly heavily used number system that is larger than or that has more digits than base 10 and that base is 16.

4b5 4 16 16 11 16 5 1205 in decimal. We can extend to base three four five six seven eight nine or we could even go above 10. In modern computing and digital electronics the most commonly used bases are decimal base 10 binary base 2 octal base 8 and hexadecimal base 16. Hex basics the digits.

That means there are 16 possible digits used to. As such hexadec in the word hexadecimal stands for sixteen. Where did the other six digits come from. Counting in hex is a lot like counting in decimal except there are six more digits to deal with.

It uses sixteen distinct symbols most often the symbols 0 9 to represent values zero to nine and a b c d e f or alternatively a f to represent values ten to fifteen. The b 11 is in the 16 position so that means 11 16. Am i channelling my inner sam. What this evaluates to is that essentially in hex short for hexadecimal you have sixteen digits to work with as opposed to only ten as in decimal.

Hexadecimal is a base 16 number system. If we are converting between two bases other than decimal we typically have to convert the number to base 10 first and then convert that number to the second base.