67FD hexadecimal to binary

Here we will show you how to convert the hexadecimal number 67FD 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 67FD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 67FD by 16⁰, multiply the second to last digit in 67FD by 16¹, multiply the third to last digit in 67FD by 16², multiply the fourth to last digit in 67FD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
F × 16¹ = 240
7 × 16² = 1792
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:

13 + 240 + 1792 + 24576 = 26621

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.

26621 ÷ 2 = 13310 with 1 remainder
13310 ÷ 2 = 6655 with 0 remainder
6655 ÷ 2 = 3327 with 1 remainder
3327 ÷ 2 = 1663 with 1 remainder
1663 ÷ 2 = 831 with 1 remainder
831 ÷ 2 = 415 with 1 remainder
415 ÷ 2 = 207 with 1 remainder
207 ÷ 2 = 103 with 1 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 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 67FD hexadecimal to binary:

67FD hexadecimal = 110011111111101 binary

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67FE hexadecimal to binary
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