4C5C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4C5C 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 4C5C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4C5C by 16⁰, multiply the second to last digit in 4C5C by 16¹, multiply the third to last digit in 4C5C by 16², multiply the fourth to last digit in 4C5C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
5 × 16¹ = 80
C × 16² = 3072
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:

12 + 80 + 3072 + 16384 = 19548

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.

19548 ÷ 2 = 9774 with 0 remainder
9774 ÷ 2 = 4887 with 0 remainder
4887 ÷ 2 = 2443 with 1 remainder
2443 ÷ 2 = 1221 with 1 remainder
1221 ÷ 2 = 610 with 1 remainder
610 ÷ 2 = 305 with 0 remainder
305 ÷ 2 = 152 with 1 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 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 4C5C hexadecimal to binary:

4C5C hexadecimal = 100110001011100 binary

Hexadecimal to Binary Converter
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