# Hexadecimal fractions to decimal numbers

This post is explain

**how to convert hexadecimal fractions to decimal numbers**. As we known, hexadecimal number is system number who have 16 digit numbers, which is 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F, where:`A present of 10`

B present of 11

C present of 12

D present of 13

E present of 14

F present of 15.

The picture below is show hexadecimal fraction to decimal, form 1st position to 5th position of the digit, before and after the hexadecimal point.

Example 1:

Convert hexadecimal number 0.59A to decimal number

Completion:

0.59A

1st digit after hexadecimal point: 5 → 5 × (1/ 16

2nd digit after hexadecimal point: 9 → 9 × (1/ 16

3rd digit after hexadecimal point: A → 10 × (1/ 16

sum all → 0.3125 + 0.03515625 + 0.00244141 = 0.35009766

0.59A

Example 2:

Convert hexadecimal number E2.81AC to decimal number

Completion:

E2.81AC

1st digit: 2 → 2 × 16

2nd digit: E → 14 × 16

sum all → 2 + 224 = 226

1st digit: 8 → 8 × (1/ 16

2nd digit: 1 → 1 × (1/ 16

3rd digit: A → 10 × (1/ 16

4th digit: C → 12 × (1/ 16

sum all → 0.5 + 0.00390625 + 0.00244141 + 0.000183108 = 0.506530768

E2.81AC

Hexadecimal fractions to decimal |

Convert hexadecimal number 0.59A to decimal number

Completion:

0.59A

_{(16)}= ..._{(10)}1st digit after hexadecimal point: 5 → 5 × (1/ 16

^{1}) = 5 × 0.0625 = 0.31252nd digit after hexadecimal point: 9 → 9 × (1/ 16

^{2}) = 9 × 0.00390625 = 0.035156253rd digit after hexadecimal point: A → 10 × (1/ 16

^{3}) = 10 × 0.000244141 = 0.00244141sum all → 0.3125 + 0.03515625 + 0.00244141 = 0.35009766

0.59A

_{(16)}= 0.35009766_{(10)}Example 2:

Convert hexadecimal number E2.81AC to decimal number

Completion:

E2.81AC

_{(16)}= ..._{(10)}*before hexadecimal point*1st digit: 2 → 2 × 16

^{0}= 2 × 1 = 22nd digit: E → 14 × 16

^{1}= 14 × 16 = 224sum all → 2 + 224 = 226

*after hexadecimal point*1st digit: 8 → 8 × (1/ 16

^{1}) = 8 × 0.0625 = 0.52nd digit: 1 → 1 × (1/ 16

^{2}) = 1 × 0.00390625 = 0.003906253rd digit: A → 10 × (1/ 16

^{3}) = 10 × 0.000244141 = 0.002441414th digit: C → 12 × (1/ 16

^{4}) = 12 × 0.000015259 = 0.000183108sum all → 0.5 + 0.00390625 + 0.00244141 + 0.000183108 = 0.506530768

E2.81AC

_{(16)}= 226.506530768_{(10)}
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