8ECA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8ECA 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 8ECA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8ECA by 16⁰, multiply the second to last digit in 8ECA by 16¹, multiply the third to last digit in 8ECA by 16², multiply the fourth to last digit in 8ECA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
C × 16¹ = 192
E × 16² = 3584
8 × 16³ = 32768

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:

10 + 192 + 3584 + 32768 = 36554

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.

36554 ÷ 2 = 18277 with 0 remainder
18277 ÷ 2 = 9138 with 1 remainder
9138 ÷ 2 = 4569 with 0 remainder
4569 ÷ 2 = 2284 with 1 remainder
2284 ÷ 2 = 1142 with 0 remainder
1142 ÷ 2 = 571 with 0 remainder
571 ÷ 2 = 285 with 1 remainder
285 ÷ 2 = 142 with 1 remainder
142 ÷ 2 = 71 with 0 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 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 8ECA hexadecimal to binary:

8ECA hexadecimal = 1000111011001010 binary

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8ECB hexadecimal to binary
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