857 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 857 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 857 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 857 by 16⁰, multiply the second to last digit in 857 by 16¹, multiply the third to last digit in 857 by 16², multiply the fourth to last digit in 857 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
5 × 16¹ = 80
8 × 16² = 2048

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:

7 + 80 + 2048 = 2135

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.

2135 ÷ 2 = 1067 with 1 remainder
1067 ÷ 2 = 533 with 1 remainder
533 ÷ 2 = 266 with 1 remainder
266 ÷ 2 = 133 with 0 remainder
133 ÷ 2 = 66 with 1 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 857 hexadecimal to binary:

857 hexadecimal = 100001010111 binary

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858 hexadecimal to binary
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