# HOW TO CONVERT ANY DECIMAL NUMBER TO HEX

Dec = decimal, Hex Equi = Hexadecimal Equivalent, Rem = Remainder

### EXAMPLE CONVERSION - DECIMAL TO HEX

Decimal | Hex Equivalent |

39,619 | 9AC3 |

Hex = Decimal | Hex
= Dec |
Comment | Divide decimal number
successively by 16 |
Remainder still in decimal |
Rem still in Dec |
Hex Equivalent of remainder |
|||

0=0 1=1 2=2 4=4 5=5 6=6 7=7 8=8 9=9 A=10 B=11 C=12 D=13 E=14 F=15 |
col 3 | col 2 | col 1 | col 0 | |||||

divide decimal number to be converted by 16 and put the remainder in col 0 | 39619 ÷ 16 = 2476 | *rem 3 | 3 | ||||||

divide answer from row above by 16 and put the remainder in col 1 | 2476 ÷ 16 = 154 | *rem 12 | C | ||||||

divide answer from row above by 16 and put the remainder in column 2 | 154 ÷ 16 = 9 | *rem 10 | A | ||||||

divide answer from row above by 16 and put the answer in column 3 | 9 ÷ 16 = 0 | *rem 9 | 9 | ||||||

Write out the answer, starting with column 3 and going through to column zero. | Answer is Hex 9AC3 |

### * TO CALCULATE THE REMAINDER

Divide **39619** by **16**. The answer is **2476.1874**

Take the numbers after the point and multiply by 16

**.1874 x 16 = 2.9984**

The remainder is **2.9984** rounded up to the next whole number **= 3**

Therefore **39619 ÷ 16 = 2476** remainder **3**