B3C3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B3C3 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 B3C3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B3C3 by 16⁰, multiply the second to last digit in B3C3 by 16¹, multiply the third to last digit in B3C3 by 16², multiply the fourth to last digit in B3C3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
C × 16¹ = 192
3 × 16² = 768
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:

3 + 192 + 768 + 45056 = 46019

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.

46019 ÷ 2 = 23009 with 1 remainder
23009 ÷ 2 = 11504 with 1 remainder
11504 ÷ 2 = 5752 with 0 remainder
5752 ÷ 2 = 2876 with 0 remainder
2876 ÷ 2 = 1438 with 0 remainder
1438 ÷ 2 = 719 with 0 remainder
719 ÷ 2 = 359 with 1 remainder
359 ÷ 2 = 179 with 1 remainder
179 ÷ 2 = 89 with 1 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 B3C3 hexadecimal to binary:

B3C3 hexadecimal = 1011001111000011 binary

Hexadecimal to Binary Converter
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