CAE8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CAE8 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 CAE8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CAE8 by 16⁰, multiply the second to last digit in CAE8 by 16¹, multiply the third to last digit in CAE8 by 16², multiply the fourth to last digit in CAE8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
E × 16¹ = 224
A × 16² = 2560
C × 16³ = 49152

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:

8 + 224 + 2560 + 49152 = 51944

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.

51944 ÷ 2 = 25972 with 0 remainder
25972 ÷ 2 = 12986 with 0 remainder
12986 ÷ 2 = 6493 with 0 remainder
6493 ÷ 2 = 3246 with 1 remainder
3246 ÷ 2 = 1623 with 0 remainder
1623 ÷ 2 = 811 with 1 remainder
811 ÷ 2 = 405 with 1 remainder
405 ÷ 2 = 202 with 1 remainder
202 ÷ 2 = 101 with 0 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 CAE8 hexadecimal to binary:

CAE8 hexadecimal = 1100101011101000 binary

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CAE9 hexadecimal to binary
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