A6BF hexadecimal to binary

Here we will show you how to convert the hexadecimal number A6BF 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 A6BF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A6BF by 16⁰, multiply the second to last digit in A6BF by 16¹, multiply the third to last digit in A6BF by 16², multiply the fourth to last digit in A6BF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
B × 16¹ = 176
6 × 16² = 1536
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 + 1536 + 40960 = 42687

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.

42687 ÷ 2 = 21343 with 1 remainder
21343 ÷ 2 = 10671 with 1 remainder
10671 ÷ 2 = 5335 with 1 remainder
5335 ÷ 2 = 2667 with 1 remainder
2667 ÷ 2 = 1333 with 1 remainder
1333 ÷ 2 = 666 with 1 remainder
666 ÷ 2 = 333 with 0 remainder
333 ÷ 2 = 166 with 1 remainder
166 ÷ 2 = 83 with 0 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 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 A6BF hexadecimal to binary:

A6BF hexadecimal = 1010011010111111 binary

Hexadecimal to Binary Converter
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