4A5C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4A5C 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 4A5C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4A5C by 16⁰, multiply the second to last digit in 4A5C by 16¹, multiply the third to last digit in 4A5C by 16², multiply the fourth to last digit in 4A5C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
5 × 16¹ = 80
A × 16² = 2560
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 + 2560 + 16384 = 19036

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.

19036 ÷ 2 = 9518 with 0 remainder
9518 ÷ 2 = 4759 with 0 remainder
4759 ÷ 2 = 2379 with 1 remainder
2379 ÷ 2 = 1189 with 1 remainder
1189 ÷ 2 = 594 with 1 remainder
594 ÷ 2 = 297 with 0 remainder
297 ÷ 2 = 148 with 1 remainder
148 ÷ 2 = 74 with 0 remainder
74 ÷ 2 = 37 with 0 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 4A5C hexadecimal to binary:

4A5C hexadecimal = 100101001011100 binary

Hexadecimal to Binary Converter
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