837B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 837B 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 837B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 837B by 16⁰, multiply the second to last digit in 837B by 16¹, multiply the third to last digit in 837B by 16², multiply the fourth to last digit in 837B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
7 × 16¹ = 112
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:

11 + 112 + 768 + 32768 = 33659

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.

33659 ÷ 2 = 16829 with 1 remainder
16829 ÷ 2 = 8414 with 1 remainder
8414 ÷ 2 = 4207 with 0 remainder
4207 ÷ 2 = 2103 with 1 remainder
2103 ÷ 2 = 1051 with 1 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 837B hexadecimal to binary:

837B hexadecimal = 1000001101111011 binary

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