Decimal to Hex

To convert a decimal number to base 16, follow the repeated division procedures you used to convert to binary and octal, only divide by 16. Let's look at an example:

Convert 63₁₀ to hex:

Therefore, the hex equivalent of 63₁₀ is 3F₁₆.

You have to remember that the remainder is in base 10 and must be converted to hex if it exceeds 9. Let's work through another example:

Convert 174₁₀ to hex:

Write the solution from MSD to LSD:

AE₁₆

There will probably be very few times when you will have to convert a decimal fraction to a hex fraction. If the occasion should arise, the conversion is done in the same manner as binary or octal. Use the following example as a pattern:

Convert 0.695₁₀ to hex:

The solution: .B1EB₁₆

Should you have the need to convert a decimal mixed number to hex, convert the whole number and the fraction separately; then recombine for the solution.

Convert the following decimal numbers to hex:

Q.60 42₁₀.
Q.61 83₁₀.
Q.62 176₁₀ .
Q.63 491₁₀.
Q.64 0.721₁₀ (four places).