# Hexadecimal to Decimal

In mathematics, we learn about numbers and play with numbers. And Hexadecimal to Decimal is a part of the number system. We all went to school and learned numbers in our toddler period. And still, we all are playing with numbers in our everyday life. When we ask the children to count, they start counting very cutely, 1,2,3,4,5,6,7,8,9,10. We all learn counting in our childhood. Numbers help us to measure and calculate. We all do division, addition, multiplication and subtraction with the help of numbers. And number system is an essential part of mathematics. Before learning about Hexadecimal, we will understand what the number system is? So, let’s begin with the learning process. ## Key Points for Converting Hexadecimal to Decimal

1. Hexadecimal is a part number system.
2. There are various types of the number system, and they are
3. Base 16 represent the numbers.
4. The hexadecimal system is also called as hex system.
5. System designers and Software developers mostly use Hexadecimal.
6. In the conversion of Hexadecimal to Decimal, we always start with the left or the last digit.
7. 16 to the power zero is always equal to one (1).
8. When we have a point digit base, 16 is written as 16 to the power -1.

## What is Number System?

Numbers help us do and perform every calculation, and we can do tough or easy calculations with the help of numbers only. With the use of the number system, we represent and identify the numbers. The numbers system is a unique system that helps us demonstrate numbers, and we use symbols and digits to represent numbers more efficiently. We can do arithmetic and algebraic operations. In the world of Mathematics, the number system is divided into four parts: decimal number, Binary number, Octal number, and Hexadecimal number. Here we will learn about how can we convert Hexadecimal to decimal. But before that, we will learn about what it is Hexadecimal. So, let’s get started with the learning process. And if interested in converting square feet to acres then you must visit. ## What is Hexadecimal?

Hexadecimal is a part of the number system. In the Hexadecimal number system, the representation of the numbers is done by the base number 16, or we can say the base 16 helps in the presentation of the numbers.

It is a positional numeral system that uses base (radix) 16 to represent the numbers. In the Hexadecimal number system, we use digits from 0 to 9 and alphabets A to F. Here in Hexadecimal, we use 16 different signs. The signs or symbols 0-9 represent the numbers or digits 0-9, and for the rest of the numbers or digits from 10-15, we use alphabets to describe them. The numbers 0 to 9 are represented as numbers like 0,1,2,3,4,5,6,7,8,9 and now ten, 10 as A, eleven 11 as B, twelve 12 as C, thirteen 13 as D, fourteen 14 as E and the last fifteen 15 as F. So we get sixteen-digit or numbers in this manner 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.

#### Common Conversion of Hexadecimal to Decimal

Hexadecimal Exact size to Decimal
1 Hex 1 deci
2 Hex 2 deci
3 Hex 3 deci
4 Hex 4 deci
5 Hex 5 deci
6 Hex 6 deci
7 Hex 7 deci
8 Hex 8 deci
9 Hex 9 deci
10 Hex 16 deci
11 Hex 17 deci
12 Hex 18 deci
13 Hex 19 deci
14 Hex 20 deci
15 Hex 21 deci
16 Hex 22 deci
17 Hex 23 deci
18 Hex 24 deci
19 Hex 25 deci
20 Hex 32 deci
21 Hex 33 deci
22 Hex 34 deci
23 Hex 35 deci
24 Hex 36 deci
25 Hex 37 deci
Hexadecimal Exact size to Decimal
26 hex 38 deci
27 hex 39 deci
28 hex 40 deci
29 hex 41 deci
30 hex 48 deci
31 hex 49 deci
32 hex 50 deci
33 hex 51 deci
34 hex 52 deci
35 hex 53 deci
36 hex 54 deci
37 hex 55 deci
38 hex 56 deci
39 hex 57 deci
40 hex 64 deci
41 hex 65 deci
42 hex 66 deci
43 hex 67 deci
44 hex 68 deci
45 hex 69 deci
46 hex 70 deci
47 hex 71 deci
48 hex 72 deci
49 hex 73 deci
50 hex 80 deci
Hexadecimal Exact size to Decimal
51 hex 81 deci
52 hex 82 deci
53 hex 83 deci
54 hex 84 deci
55 hex 85 deci
56 hex 86 deci
57 hex 87 deci
58 hex 88 deci
59 hex 89 deci
60 hex 96 deci
61 hex 97 deci
62 hex 98 deci
63 hex 99 deci
64 hex 100 deci
65 hex 101 deci
66 hex 102 deci
67 hex 103 deci
68 hex 104 deci
69 hex 105 deci
70 hex 112 deci
71 hex 113 deci
72 hex 114 deci
73 hex 115 deci
74 hex 116 deci
75 hex 117 deci
Hexadecimal Exact size to Decimal
76 hex 118 deci
77 hex 119 deci
78 hex 120 deci
79 hex 121 deci
80 hex 128 deci
81 hex 129 deci
82 hex 130 deci
83 hex 131 deci
84 hex 132 deci
85 hex 133 deci
86 hex 134 deci
87 hex 135 deci
88 hex 136 deci
89 hex 137 deci
90 hex 144 deci
91 hex 145 deci
92 hex 146 deci
93 hex 147 deci
94 hex 148 deci
95 hex 149 deci
96 hex 150 deci
97 hex 151 deci
98 hex 152 deci
99 hex 153 deci
100 hex 256 deci

## Convert Hexadecimal to Decimal

It is a straightforward process. We just need to follow the basic steps to convert Hexadecimal to Decimal as we are aware that Hexadecimal has the base power of 16. So, let us begin it with very few steps and learn the conversion of Hexadecimal to Decimal. In this converting process, we begin with the last digit. Likewise, we have to convert (6A9)16. Here we will first take the last digit 9, and give it a base 16 with power zero.
9X16 to the power 0.

Now we have A in the chart. A has the value 10. then we will have
10X16 to the power 1
now we have the last digit, 6.
6 X 16 to the power 2.
6 X 16(2) + 10 X 16(1) + 9 X 16(0)
6 X 256 + 10 X 16 + 9 X 1
1,536 + 160 + 9
(1,705)10

Convert (5BA3)16 to Decimal.
5 X 16(3) + B X 16(2) + A X 16(1) + 3 X 16(0)
5 X 4,096 + 11 X 256 + 10 X 16 + 3 X 1
20,480 + 2,816 + 160 + 3
(23,459)10

Convert (2B8.4)16 to Decimal.
2X16(2) + BX16(1) + 8X16(0)
2 X 256 + 11 X 16 + 8 X 1
512 + 176 + 8
696

Now we will solve the point, as we know that point .4 is .4 X 16(-1)
16(-1) X 4
1/16 X 4
We will get
1/4, and when we divide 1/4, we get 0.25
so here we converted the Hexadecimal to decimal, and as a result, we got
(696.25)10

I hope this discussion will help you to find out the accurate result of the Hexadecimal to Decimal problem and guide you in the right way. Keep learning and keep practising “Happy Learning To You”.