ABCF hexadecimal to binary

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

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

F × 16⁰ = 15
C × 16¹ = 192
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:

15 + 192 + 2816 + 40960 = 43983

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.

43983 ÷ 2 = 21991 with 1 remainder
21991 ÷ 2 = 10995 with 1 remainder
10995 ÷ 2 = 5497 with 1 remainder
5497 ÷ 2 = 2748 with 1 remainder
2748 ÷ 2 = 1374 with 0 remainder
1374 ÷ 2 = 687 with 0 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 ABCF hexadecimal to binary:

ABCF hexadecimal = 1010101111001111 binary

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

ABD0 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.