21A0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 21A0 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 21A0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 21A0 by 16⁰, multiply the second to last digit in 21A0 by 16¹, multiply the third to last digit in 21A0 by 16², multiply the fourth to last digit in 21A0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
A × 16¹ = 160
1 × 16² = 256
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:

0 + 160 + 256 + 8192 = 8608

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.

8608 ÷ 2 = 4304 with 0 remainder
4304 ÷ 2 = 2152 with 0 remainder
2152 ÷ 2 = 1076 with 0 remainder
1076 ÷ 2 = 538 with 0 remainder
538 ÷ 2 = 269 with 0 remainder
269 ÷ 2 = 134 with 1 remainder
134 ÷ 2 = 67 with 0 remainder
67 ÷ 2 = 33 with 1 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 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 21A0 hexadecimal to binary:

21A0 hexadecimal = 10000110100000 binary

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21A1 hexadecimal to binary
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