**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

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

**Hexadecimal to Decimal**problem and guide you in the right way. Keep learning and keep practising “Happy Learning To You”.