3CA6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3CA6 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 3CA6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3CA6 by 16⁰, multiply the second to last digit in 3CA6 by 16¹, multiply the third to last digit in 3CA6 by 16², multiply the fourth to last digit in 3CA6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
A × 16¹ = 160
C × 16² = 3072
3 × 16³ = 12288

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:

6 + 160 + 3072 + 12288 = 15526

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.

15526 ÷ 2 = 7763 with 0 remainder
7763 ÷ 2 = 3881 with 1 remainder
3881 ÷ 2 = 1940 with 1 remainder
1940 ÷ 2 = 970 with 0 remainder
970 ÷ 2 = 485 with 0 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 3CA6 hexadecimal to binary:

3CA6 hexadecimal = 11110010100110 binary

Hexadecimal to Binary Converter
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3CA7 hexadecimal to binary
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