FF6E hexadecimal to binary

Here we will show you how to convert the hexadecimal number FF6E 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 FF6E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FF6E by 16⁰, multiply the second to last digit in FF6E by 16¹, multiply the third to last digit in FF6E by 16², multiply the fourth to last digit in FF6E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
6 × 16¹ = 96
F × 16² = 3840
F × 16³ = 61440

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:

14 + 96 + 3840 + 61440 = 65390

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.

65390 ÷ 2 = 32695 with 0 remainder
32695 ÷ 2 = 16347 with 1 remainder
16347 ÷ 2 = 8173 with 1 remainder
8173 ÷ 2 = 4086 with 1 remainder
4086 ÷ 2 = 2043 with 0 remainder
2043 ÷ 2 = 1021 with 1 remainder
1021 ÷ 2 = 510 with 1 remainder
510 ÷ 2 = 255 with 0 remainder
255 ÷ 2 = 127 with 1 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 FF6E hexadecimal to binary:

FF6E hexadecimal = 1111111101101110 binary

Hexadecimal to Binary Converter
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FF6F hexadecimal to binary
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