37FB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 37FB 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 37FB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 37FB by 16⁰, multiply the second to last digit in 37FB by 16¹, multiply the third to last digit in 37FB by 16², multiply the fourth to last digit in 37FB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
F × 16¹ = 240
7 × 16² = 1792
3 × 16³ = 12288

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 + 240 + 1792 + 12288 = 14331

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.

14331 ÷ 2 = 7165 with 1 remainder
7165 ÷ 2 = 3582 with 1 remainder
3582 ÷ 2 = 1791 with 0 remainder
1791 ÷ 2 = 895 with 1 remainder
895 ÷ 2 = 447 with 1 remainder
447 ÷ 2 = 223 with 1 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 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 37FB hexadecimal to binary:

37FB hexadecimal = 11011111111011 binary

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37FC hexadecimal to binary
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