8BDA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8BDA 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 8BDA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8BDA by 16⁰, multiply the second to last digit in 8BDA by 16¹, multiply the third to last digit in 8BDA by 16², multiply the fourth to last digit in 8BDA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
D × 16¹ = 208
B × 16² = 2816
8 × 16³ = 32768

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 + 32768 = 35802

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.

35802 ÷ 2 = 17901 with 0 remainder
17901 ÷ 2 = 8950 with 1 remainder
8950 ÷ 2 = 4475 with 0 remainder
4475 ÷ 2 = 2237 with 1 remainder
2237 ÷ 2 = 1118 with 1 remainder
1118 ÷ 2 = 559 with 0 remainder
559 ÷ 2 = 279 with 1 remainder
279 ÷ 2 = 139 with 1 remainder
139 ÷ 2 = 69 with 1 remainder
69 ÷ 2 = 34 with 1 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 8BDA hexadecimal to binary:

8BDA hexadecimal = 1000101111011010 binary

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8BDB hexadecimal to binary
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