DA3F hexadecimal to binary

Here we will show you how to convert the hexadecimal number DA3F to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert DA3F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DA3F by 16⁰, multiply the second to last digit in DA3F by 16¹, multiply the third to last digit in DA3F by 16², multiply the fourth to last digit in DA3F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
A × 16² = 2560
D × 16³ = 53248

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

15 + 48 + 2560 + 53248 = 55871

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

55871 ÷ 2 = 27935 with 1 remainder
27935 ÷ 2 = 13967 with 1 remainder
13967 ÷ 2 = 6983 with 1 remainder
6983 ÷ 2 = 3491 with 1 remainder
3491 ÷ 2 = 1745 with 1 remainder
1745 ÷ 2 = 872 with 1 remainder
872 ÷ 2 = 436 with 0 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to DA3F hexadecimal to binary:

DA3F hexadecimal = 1101101000111111 binary

Hexadecimal to Binary Converter
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