8E2A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8E2A 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 8E2A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8E2A by 16⁰, multiply the second to last digit in 8E2A by 16¹, multiply the third to last digit in 8E2A by 16², multiply the fourth to last digit in 8E2A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32
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 + 32 + 3584 + 32768 = 36394

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.

36394 ÷ 2 = 18197 with 0 remainder
18197 ÷ 2 = 9098 with 1 remainder
9098 ÷ 2 = 4549 with 0 remainder
4549 ÷ 2 = 2274 with 1 remainder
2274 ÷ 2 = 1137 with 0 remainder
1137 ÷ 2 = 568 with 1 remainder
568 ÷ 2 = 284 with 0 remainder
284 ÷ 2 = 142 with 0 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 8E2A hexadecimal to binary:

8E2A hexadecimal = 1000111000101010 binary

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8E2B hexadecimal to binary
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