4CA3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4CA3 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 4CA3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4CA3 by 16⁰, multiply the second to last digit in 4CA3 by 16¹, multiply the third to last digit in 4CA3 by 16², multiply the fourth to last digit in 4CA3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
A × 16¹ = 160
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:

3 + 160 + 3072 + 16384 = 19619

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.

19619 ÷ 2 = 9809 with 1 remainder
9809 ÷ 2 = 4904 with 1 remainder
4904 ÷ 2 = 2452 with 0 remainder
2452 ÷ 2 = 1226 with 0 remainder
1226 ÷ 2 = 613 with 0 remainder
613 ÷ 2 = 306 with 1 remainder
306 ÷ 2 = 153 with 0 remainder
153 ÷ 2 = 76 with 1 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 4CA3 hexadecimal to binary:

4CA3 hexadecimal = 100110010100011 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

4CA4 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.