AF4F hexadecimal to binary

Here we will show you how to convert the hexadecimal number AF4F 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 AF4F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AF4F by 16⁰, multiply the second to last digit in AF4F by 16¹, multiply the third to last digit in AF4F by 16², multiply the fourth to last digit in AF4F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
4 × 16¹ = 64
F × 16² = 3840
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 + 64 + 3840 + 40960 = 44879

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.

44879 ÷ 2 = 22439 with 1 remainder
22439 ÷ 2 = 11219 with 1 remainder
11219 ÷ 2 = 5609 with 1 remainder
5609 ÷ 2 = 2804 with 1 remainder
2804 ÷ 2 = 1402 with 0 remainder
1402 ÷ 2 = 701 with 0 remainder
701 ÷ 2 = 350 with 1 remainder
350 ÷ 2 = 175 with 0 remainder
175 ÷ 2 = 87 with 1 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 AF4F hexadecimal to binary:

AF4F hexadecimal = 1010111101001111 binary

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