63FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 63FA 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 63FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 63FA by 16⁰, multiply the second to last digit in 63FA by 16¹, multiply the third to last digit in 63FA by 16², multiply the fourth to last digit in 63FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
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 + 240 + 768 + 24576 = 25594

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.

25594 ÷ 2 = 12797 with 0 remainder
12797 ÷ 2 = 6398 with 1 remainder
6398 ÷ 2 = 3199 with 0 remainder
3199 ÷ 2 = 1599 with 1 remainder
1599 ÷ 2 = 799 with 1 remainder
799 ÷ 2 = 399 with 1 remainder
399 ÷ 2 = 199 with 1 remainder
199 ÷ 2 = 99 with 1 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 63FA hexadecimal to binary:

63FA hexadecimal = 110001111111010 binary

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63FB hexadecimal to binary
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