ADEF hexadecimal to binary

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

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

F × 16⁰ = 15
E × 16¹ = 224
D × 16² = 3328
A × 16³ = 40960

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 + 224 + 3328 + 40960 = 44527

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.

44527 ÷ 2 = 22263 with 1 remainder
22263 ÷ 2 = 11131 with 1 remainder
11131 ÷ 2 = 5565 with 1 remainder
5565 ÷ 2 = 2782 with 1 remainder
2782 ÷ 2 = 1391 with 0 remainder
1391 ÷ 2 = 695 with 1 remainder
695 ÷ 2 = 347 with 1 remainder
347 ÷ 2 = 173 with 1 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 ADEF hexadecimal to binary:

ADEF hexadecimal = 1010110111101111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

ADF0 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.