ABDA hexadecimal to binary

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

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

A × 16⁰ = 10
D × 16¹ = 208
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:

10 + 208 + 2816 + 40960 = 43994

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.

43994 ÷ 2 = 21997 with 0 remainder
21997 ÷ 2 = 10998 with 1 remainder
10998 ÷ 2 = 5499 with 0 remainder
5499 ÷ 2 = 2749 with 1 remainder
2749 ÷ 2 = 1374 with 1 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 ABDA hexadecimal to binary:

ABDA hexadecimal = 1010101111011010 binary

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ABDB hexadecimal to binary
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