
Here we will show you how to convert the hexadecimal number BB37 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 BB37 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in BB37 by 16⁰, multiply the second to last digit in BB37 by 16¹, multiply the third to last digit in BB37 by 16², multiply the fourth to last digit in BB37 by 16³, and so on, until all the digits are used.
7 × 16⁰ = 7
3 × 16¹ = 48
B × 16² = 2816
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:
7 + 48 + 2816 + 45056 = 47927
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.
47927 ÷ 2 = 23963 with 1 remainder
23963 ÷ 2 = 11981 with 1 remainder
11981 ÷ 2 = 5990 with 1 remainder
5990 ÷ 2 = 2995 with 0 remainder
2995 ÷ 2 = 1497 with 1 remainder
1497 ÷ 2 = 748 with 1 remainder
748 ÷ 2 = 374 with 0 remainder
374 ÷ 2 = 187 with 0 remainder
187 ÷ 2 = 93 with 1 remainder
93 ÷ 2 = 46 with 1 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 BB37 hexadecimal to binary:
BB37 hexadecimal = 1011101100110111 binary
Hexadecimal to Binary Converter
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BB38 hexadecimal to binary
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