836D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 836D 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 836D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 836D by 16⁰, multiply the second to last digit in 836D by 16¹, multiply the third to last digit in 836D by 16², multiply the fourth to last digit in 836D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
6 × 16¹ = 96
3 × 16² = 768
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:

13 + 96 + 768 + 32768 = 33645

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.

33645 ÷ 2 = 16822 with 1 remainder
16822 ÷ 2 = 8411 with 0 remainder
8411 ÷ 2 = 4205 with 1 remainder
4205 ÷ 2 = 2102 with 1 remainder
2102 ÷ 2 = 1051 with 0 remainder
1051 ÷ 2 = 525 with 1 remainder
525 ÷ 2 = 262 with 1 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 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 836D hexadecimal to binary:

836D hexadecimal = 1000001101101101 binary

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836E hexadecimal to binary
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