ABF4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number ABF4 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 ABF4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in ABF4 by 16⁰, multiply the second to last digit in ABF4 by 16¹, multiply the third to last digit in ABF4 by 16², multiply the fourth to last digit in ABF4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
F × 16¹ = 240
B × 16² = 2816
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:

4 + 240 + 2816 + 40960 = 44020

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.

44020 ÷ 2 = 22010 with 0 remainder
22010 ÷ 2 = 11005 with 0 remainder
11005 ÷ 2 = 5502 with 1 remainder
5502 ÷ 2 = 2751 with 0 remainder
2751 ÷ 2 = 1375 with 1 remainder
1375 ÷ 2 = 687 with 1 remainder
687 ÷ 2 = 343 with 1 remainder
343 ÷ 2 = 171 with 1 remainder
171 ÷ 2 = 85 with 1 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 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 ABF4 hexadecimal to binary:

ABF4 hexadecimal = 1010101111110100 binary

Hexadecimal to Binary Converter
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