BD6A hexadecimal to binary

Here we will show you how to convert the hexadecimal number BD6A 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 BD6A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BD6A by 16⁰, multiply the second to last digit in BD6A by 16¹, multiply the third to last digit in BD6A by 16², multiply the fourth to last digit in BD6A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
D × 16² = 3328
B × 16³ = 45056

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 + 96 + 3328 + 45056 = 48490

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.

48490 ÷ 2 = 24245 with 0 remainder
24245 ÷ 2 = 12122 with 1 remainder
12122 ÷ 2 = 6061 with 0 remainder
6061 ÷ 2 = 3030 with 1 remainder
3030 ÷ 2 = 1515 with 0 remainder
1515 ÷ 2 = 757 with 1 remainder
757 ÷ 2 = 378 with 1 remainder
378 ÷ 2 = 189 with 0 remainder
189 ÷ 2 = 94 with 1 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 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 BD6A hexadecimal to binary:

BD6A hexadecimal = 1011110101101010 binary

Hexadecimal to Binary Converter
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BD6B hexadecimal to binary
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