69DB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 69DB 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 69DB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 69DB by 16⁰, multiply the second to last digit in 69DB by 16¹, multiply the third to last digit in 69DB by 16², multiply the fourth to last digit in 69DB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
D × 16¹ = 208
9 × 16² = 2304
6 × 16³ = 24576

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:

11 + 208 + 2304 + 24576 = 27099

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.

27099 ÷ 2 = 13549 with 1 remainder
13549 ÷ 2 = 6774 with 1 remainder
6774 ÷ 2 = 3387 with 0 remainder
3387 ÷ 2 = 1693 with 1 remainder
1693 ÷ 2 = 846 with 1 remainder
846 ÷ 2 = 423 with 0 remainder
423 ÷ 2 = 211 with 1 remainder
211 ÷ 2 = 105 with 1 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 69DB hexadecimal to binary:

69DB hexadecimal = 110100111011011 binary

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69DC hexadecimal to binary
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