6FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6FA 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 6FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6FA by 16⁰, multiply the second to last digit in 6FA by 16¹, multiply the third to last digit in 6FA by 16², multiply the fourth to last digit in 6FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
6 × 16² = 1536

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 + 1536 = 1786

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.

1786 ÷ 2 = 893 with 0 remainder
893 ÷ 2 = 446 with 1 remainder
446 ÷ 2 = 223 with 0 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 6FA hexadecimal to binary:

6FA hexadecimal = 11011111010 binary

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6FB hexadecimal to binary
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