836A hexadecimal to binary

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

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

A × 16⁰ = 10
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:

10 + 96 + 768 + 32768 = 33642

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.

33642 ÷ 2 = 16821 with 0 remainder
16821 ÷ 2 = 8410 with 1 remainder
8410 ÷ 2 = 4205 with 0 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 836A hexadecimal to binary:

836A hexadecimal = 1000001101101010 binary

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836B hexadecimal to binary
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