AEBD hexadecimal to binary

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

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

D × 16⁰ = 13
B × 16¹ = 176
E × 16² = 3584
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:

13 + 176 + 3584 + 40960 = 44733

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.

44733 ÷ 2 = 22366 with 1 remainder
22366 ÷ 2 = 11183 with 0 remainder
11183 ÷ 2 = 5591 with 1 remainder
5591 ÷ 2 = 2795 with 1 remainder
2795 ÷ 2 = 1397 with 1 remainder
1397 ÷ 2 = 698 with 1 remainder
698 ÷ 2 = 349 with 0 remainder
349 ÷ 2 = 174 with 1 remainder
174 ÷ 2 = 87 with 0 remainder
87 ÷ 2 = 43 with 1 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 AEBD hexadecimal to binary:

AEBD hexadecimal = 1010111010111101 binary

Hexadecimal to Binary Converter
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AEBE hexadecimal to binary
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