```
0 = 0
```

1 = 1

2 = 2

3 = 3

4 = 4

5 = 5

6 = 6

7 = 7

8 = 8

9 = 9

A = 10

B = 11

C = 12

D = 13

E = 14

F = 15

Lets pick a decimal number, 1009.

Divide the number by 16.

`1009 / 16 = 63.0625 (disregard everything after the decimal point) = 63`

Now times the remainder 0.0625 by 16.

`0.0625 * 16 = 1`

Note the answer 1.

Now take division result of 63 and divide this by 16.

`63 / 16 = 3.9375 (disregard everything after the decimal point) = 3`

Now times the remainder 0.9375 by 16.

`0.9375 * 16 = 15.`

Note the answer 15 (15 = F)

Now take division result of 3 and divide this by 16.

`3 / 16 = 0.1875 (disregard everything after the decimal point) = 0`

When we hit 0 on the division, we have reached the end of the chain. Record 3 as the final conversion.

The final step is to simply put the remainders and final conversion together:

`3F1`

Its always worth checking your conversion using an online decimal to hex tool to ensure your answer is correct.

My decimal number is 54.

`54 / 16 = 3.375 = 3`

0.375 * 16 = **6 (1st number)**

3 / 16 = 0.1875 (note the **3 (2nd number)** as this is the end of the chain)

DEC 54 = HEX 36

My decimal number is 633.

`633 / 16 = 39.5625 = 39`

0.5625 * 16 = **9 (1st number)**

39 / 16 = 2.4375 = 2

0.4375 * 16 = **7 (2nd number)**

2 / 16 = 0.125 = **2 (3rd number)**

DEC 633 = HEX 279

My decimal number is 256.

`256 / 16 = 16.0`

0 * 16 = **0 (1st number)**

16 / 16 = 1.0 = 2

0 * 16 = **0 (2nd number)**

1 / 16 = 0.0.625 = **1 (3rd number)**

DEC 256 = HEX 100

Converting from hex to decimal is again relatively straight forward, a calculator will again come in handy!

Choose a hex number, I will use A7F.

Follow this simple rule, reading the hex numbers from left to right:

```
A = 10
```

10 * 16^2 = **2560**

7 = 7

7 * 16^1 = **112**

F = 15

15 * 16^0 = **15**

2560 + 112 + 15 = 2687

HEX A7F = DEC 2687

My hex number is F6F1

```
F = 15
```

15 * 16^3 = **61440**

6 = 6

6 * 16^2 = **1536**

F = 15

15 * 16^1 = **240**

1 = 1

1 * 16^0 = **1**

61440 + 1536 + 240 + 1 = 63217

HEX F6F1 = DEC 63217

My hex number is F1

```
F = 15
```

15 * 16^1 = **240**

1 = 1

1 * 16^0 = **1**

240 + 1 = 241

HEX F1 = DEC 241

Hopefully that all makes sense, if not ping me an email and I will try to explain further.
Copyright © 2023 - slash-root.com