2CAE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2CAE 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 2CAE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2CAE by 16⁰, multiply the second to last digit in 2CAE by 16¹, multiply the third to last digit in 2CAE by 16², multiply the fourth to last digit in 2CAE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
A × 16¹ = 160
C × 16² = 3072
2 × 16³ = 8192

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:

14 + 160 + 3072 + 8192 = 11438

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.

11438 ÷ 2 = 5719 with 0 remainder
5719 ÷ 2 = 2859 with 1 remainder
2859 ÷ 2 = 1429 with 1 remainder
1429 ÷ 2 = 714 with 1 remainder
714 ÷ 2 = 357 with 0 remainder
357 ÷ 2 = 178 with 1 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 2CAE hexadecimal to binary:

2CAE hexadecimal = 10110010101110 binary

Hexadecimal to Binary Converter
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2CAF hexadecimal to binary
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