4BC4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4BC4 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 4BC4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4BC4 by 16⁰, multiply the second to last digit in 4BC4 by 16¹, multiply the third to last digit in 4BC4 by 16², multiply the fourth to last digit in 4BC4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
C × 16¹ = 192
B × 16² = 2816
4 × 16³ = 16384

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:

4 + 192 + 2816 + 16384 = 19396

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.

19396 ÷ 2 = 9698 with 0 remainder
9698 ÷ 2 = 4849 with 0 remainder
4849 ÷ 2 = 2424 with 1 remainder
2424 ÷ 2 = 1212 with 0 remainder
1212 ÷ 2 = 606 with 0 remainder
606 ÷ 2 = 303 with 0 remainder
303 ÷ 2 = 151 with 1 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4BC4 hexadecimal to binary:

4BC4 hexadecimal = 100101111000100 binary

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