630A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 630A 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 630A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 630A by 16⁰, multiply the second to last digit in 630A by 16¹, multiply the third to last digit in 630A by 16², multiply the fourth to last digit in 630A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
0 × 16¹ = 0
3 × 16² = 768
6 × 16³ = 24576

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 + 0 + 768 + 24576 = 25354

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.

25354 ÷ 2 = 12677 with 0 remainder
12677 ÷ 2 = 6338 with 1 remainder
6338 ÷ 2 = 3169 with 0 remainder
3169 ÷ 2 = 1584 with 1 remainder
1584 ÷ 2 = 792 with 0 remainder
792 ÷ 2 = 396 with 0 remainder
396 ÷ 2 = 198 with 0 remainder
198 ÷ 2 = 99 with 0 remainder
99 ÷ 2 = 49 with 1 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 630A hexadecimal to binary:

630A hexadecimal = 110001100001010 binary

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630B hexadecimal to binary
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