E21A hexadecimal to binary

Here we will show you how to convert the hexadecimal number E21A 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 E21A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E21A by 16⁰, multiply the second to last digit in E21A by 16¹, multiply the third to last digit in E21A by 16², multiply the fourth to last digit in E21A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
1 × 16¹ = 16
2 × 16² = 512
E × 16³ = 57344

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 + 16 + 512 + 57344 = 57882

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.

57882 ÷ 2 = 28941 with 0 remainder
28941 ÷ 2 = 14470 with 1 remainder
14470 ÷ 2 = 7235 with 0 remainder
7235 ÷ 2 = 3617 with 1 remainder
3617 ÷ 2 = 1808 with 1 remainder
1808 ÷ 2 = 904 with 0 remainder
904 ÷ 2 = 452 with 0 remainder
452 ÷ 2 = 226 with 0 remainder
226 ÷ 2 = 113 with 0 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 E21A hexadecimal to binary:

E21A hexadecimal = 1110001000011010 binary

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E21B hexadecimal to binary
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