DEAE hexadecimal to binary

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

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

E × 16⁰ = 14
A × 16¹ = 160
E × 16² = 3584
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:

14 + 160 + 3584 + 53248 = 57006

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.

57006 ÷ 2 = 28503 with 0 remainder
28503 ÷ 2 = 14251 with 1 remainder
14251 ÷ 2 = 7125 with 1 remainder
7125 ÷ 2 = 3562 with 1 remainder
3562 ÷ 2 = 1781 with 0 remainder
1781 ÷ 2 = 890 with 1 remainder
890 ÷ 2 = 445 with 0 remainder
445 ÷ 2 = 222 with 1 remainder
222 ÷ 2 = 111 with 0 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 DEAE hexadecimal to binary:

DEAE hexadecimal = 1101111010101110 binary

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

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