B43C hexadecimal to binary

Here we will show you how to convert the hexadecimal number B43C 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 B43C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B43C by 16⁰, multiply the second to last digit in B43C by 16¹, multiply the third to last digit in B43C by 16², multiply the fourth to last digit in B43C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
4 × 16² = 1024
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:

12 + 48 + 1024 + 45056 = 46140

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.

46140 ÷ 2 = 23070 with 0 remainder
23070 ÷ 2 = 11535 with 0 remainder
11535 ÷ 2 = 5767 with 1 remainder
5767 ÷ 2 = 2883 with 1 remainder
2883 ÷ 2 = 1441 with 1 remainder
1441 ÷ 2 = 720 with 1 remainder
720 ÷ 2 = 360 with 0 remainder
360 ÷ 2 = 180 with 0 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 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 B43C hexadecimal to binary:

B43C hexadecimal = 1011010000111100 binary

Hexadecimal to Binary Converter
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