A1BF hexadecimal to binary

Here we will show you how to convert the hexadecimal number A1BF 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 A1BF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A1BF by 16⁰, multiply the second to last digit in A1BF by 16¹, multiply the third to last digit in A1BF by 16², multiply the fourth to last digit in A1BF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
B × 16¹ = 176
1 × 16² = 256
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 + 176 + 256 + 40960 = 41407

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.

41407 ÷ 2 = 20703 with 1 remainder
20703 ÷ 2 = 10351 with 1 remainder
10351 ÷ 2 = 5175 with 1 remainder
5175 ÷ 2 = 2587 with 1 remainder
2587 ÷ 2 = 1293 with 1 remainder
1293 ÷ 2 = 646 with 1 remainder
646 ÷ 2 = 323 with 0 remainder
323 ÷ 2 = 161 with 1 remainder
161 ÷ 2 = 80 with 1 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 A1BF hexadecimal to binary:

A1BF hexadecimal = 1010000110111111 binary

Hexadecimal to Binary Converter
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