# Convert Decimal to Hex

To convert Decimal to Hexadecimal, input decimal value in the box below, and then click on the big blue button that says “CONVERT TO HEX” and Hex is generated, copy it or you can download output file.

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## Decimal Numbering System

In decimal number system there only ten (10) digits from 0 to 9. Every number (value) in this decimal system represents with 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The base of this number system is 10, because it has only 10 digits.

Example: 8062 in decimal (base 10)

806210 = (8 x 103) + (0 x 102) + (6 x 101) + (2 x 100)

In a Hexadecimal number system there are sixteen (16) alphanumeric values from 0 to 9 and A to F. In this number system every number (value) represents with 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F. The base of this number system is 16, because it has 16 alphanumeric values. Here A is 10, B is 11, C is 12, D is 14, E is 15 and F is 16.

Example: What is 0xA5 in base 10?

0xA5 = A516 = (10 x 161) + (5 x 160) = 16510

• Step 1: To convert a decimal number into hexadecimal, first you have to check whether the number in question is greater the 16 or not. If the number is less than 16 then we will have to use A, B, C, D, E and F for the numbers 10, 11, 12, 13, 14 and 15 respectively. For example.

• Step 2: If the number is greater than 16 then divide the number in question by 16.

• Step 3: Note down the remainder.

• Step 4: Divide the quotient by 16 again and note down the remainder.

• Step 5: Repeat the steps until you your quotient is less than 16.

• Step 6: Note down the remainder from step 2 to 6.

• Step 7: The column of the remainder is read in reverse order i.e., from bottom to top order. We try to discuss the method with an example.

Example 1: Convert (348)10 into a hexadecimal number.

Solution:

 Division Quotient Generated Remainder 348/16 21 12 (C) 21/15 1 5 1/16 0 1

Hence the converted hexadecimal number is (15C)16.

Example 2: Covert (4768)10 into a hexadecimal number.

Solution:

 Division Quotient Generated Remainder 4768/16 298 0 298/15 18 10 (A) 18/16 1 2 1/16 0 1

Hence the converted hexadecimal number is (12A0)16.

#### Decimal Hex Conversion Chart

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