210 hexadecimal to binary
Here we will show you how to convert the hexadecimal number 210 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 210 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 210 by 16⁰, multiply the second to last digit in 210 by 16¹, multiply the third to last digit in 210 by 16², multiply the fourth to last digit in 210 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
1 × 16¹ = 16
2 × 16² = 512
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 + 16 + 512 = 528
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.
528 ÷ 2 = 264 with 0 remainder
264 ÷ 2 = 132 with 0 remainder
132 ÷ 2 = 66 with 0 remainder
66 ÷ 2 = 33 with 0 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 210 hexadecimal to binary:
210 hexadecimal = 1000010000 binary
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211 hexadecimal to binary
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