Conversion
In this tutorial we will learn hexadecimal to decimal conversion of an integer number.
Before we dive into the main topic lets talk a little about Decimal and Hexadecimal Number System that we are going to work with in this tutorial.
A decimal number system consists of 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. So, any number that we use in our daily life is actually in decimal number system.
In hexadecimal number system we use ten digits and six english alphabet letters. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F 10 is denoted as A 11 is denoted as B 12 is denoted as C 13 is denoted as D 14 is denoted as E 15 is denoted as F Hexadecimal implies base 16
To convert a hexadecimal number into decimal form we have to multiply ones place by 160 tens place by 161 hundreds place by 162 and so on…
The following table shows the places, hexadecimal number and the multipliers for the corresponding places.
= Ax161 + 1x160 = 10x161 + 1x160 = 160 + 1 = 161
So, the required decimal number is A1(base 16) = 161(base 10) Alternatively, (A1)16 = (161)10 Where, (base 10) means the number is in decimal number system and (base 16) means the number is in hexadecimal number system.
= 5x163 + 0x162 + Ax161 + Fx160 = 5x163 + 0x162 + 10x16 + 15x160 = 20480 + 0 + 160 + 15 = 20655
So, the required decimal number is 50AF(base 16) = 20655(base 10) Alternatively, (50AF)16 = (20655)10 Where, (base 10) means the number is in decimal number system and (base 16) means the number is in hexadecimal number system.