69BC hexadecimal to binary

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

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

C × 16⁰ = 12
B × 16¹ = 176
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:

12 + 176 + 2304 + 24576 = 27068

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.

27068 ÷ 2 = 13534 with 0 remainder
13534 ÷ 2 = 6767 with 0 remainder
6767 ÷ 2 = 3383 with 1 remainder
3383 ÷ 2 = 1691 with 1 remainder
1691 ÷ 2 = 845 with 1 remainder
845 ÷ 2 = 422 with 1 remainder
422 ÷ 2 = 211 with 0 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 69BC hexadecimal to binary:

69BC hexadecimal = 110100110111100 binary

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69BD hexadecimal to binary
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