DFAA hexadecimal to binary

Here we will show you how to convert the hexadecimal number DFAA 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 DFAA from hexadecimal to binary are explained below.

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

A × 16⁰ = 10
A × 16¹ = 160
F × 16² = 3840
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:

10 + 160 + 3840 + 53248 = 57258

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.

57258 ÷ 2 = 28629 with 0 remainder
28629 ÷ 2 = 14314 with 1 remainder
14314 ÷ 2 = 7157 with 0 remainder
7157 ÷ 2 = 3578 with 1 remainder
3578 ÷ 2 = 1789 with 0 remainder
1789 ÷ 2 = 894 with 1 remainder
894 ÷ 2 = 447 with 0 remainder
447 ÷ 2 = 223 with 1 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 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 DFAA hexadecimal to binary:

DFAA hexadecimal = 1101111110101010 binary

Hexadecimal to Binary Converter
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DFAB hexadecimal to binary
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