AB2D hexadecimal to binary

Here we will show you how to convert the hexadecimal number AB2D 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 AB2D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AB2D by 16⁰, multiply the second to last digit in AB2D by 16¹, multiply the third to last digit in AB2D by 16², multiply the fourth to last digit in AB2D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
2 × 16¹ = 32
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:

13 + 32 + 2816 + 40960 = 43821

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.

43821 ÷ 2 = 21910 with 1 remainder
21910 ÷ 2 = 10955 with 0 remainder
10955 ÷ 2 = 5477 with 1 remainder
5477 ÷ 2 = 2738 with 1 remainder
2738 ÷ 2 = 1369 with 0 remainder
1369 ÷ 2 = 684 with 1 remainder
684 ÷ 2 = 342 with 0 remainder
342 ÷ 2 = 171 with 0 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 AB2D hexadecimal to binary:

AB2D hexadecimal = 1010101100101101 binary

Hexadecimal to Binary Converter
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AB2E hexadecimal to binary
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