AEAF hexadecimal to binary

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

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

F × 16⁰ = 15
A × 16¹ = 160
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:

15 + 160 + 3584 + 40960 = 44719

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.

44719 ÷ 2 = 22359 with 1 remainder
22359 ÷ 2 = 11179 with 1 remainder
11179 ÷ 2 = 5589 with 1 remainder
5589 ÷ 2 = 2794 with 1 remainder
2794 ÷ 2 = 1397 with 0 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 AEAF hexadecimal to binary:

AEAF hexadecimal = 1010111010101111 binary

Hexadecimal to Binary Converter
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