B939 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B939 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 B939 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B939 by 16⁰, multiply the second to last digit in B939 by 16¹, multiply the third to last digit in B939 by 16², multiply the fourth to last digit in B939 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
3 × 16¹ = 48
9 × 16² = 2304
B × 16³ = 45056

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:

9 + 48 + 2304 + 45056 = 47417

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.

47417 ÷ 2 = 23708 with 1 remainder
23708 ÷ 2 = 11854 with 0 remainder
11854 ÷ 2 = 5927 with 0 remainder
5927 ÷ 2 = 2963 with 1 remainder
2963 ÷ 2 = 1481 with 1 remainder
1481 ÷ 2 = 740 with 1 remainder
740 ÷ 2 = 370 with 0 remainder
370 ÷ 2 = 185 with 0 remainder
185 ÷ 2 = 92 with 1 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 B939 hexadecimal to binary:

B939 hexadecimal = 1011100100111001 binary

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