FA6D hexadecimal to binary

Here we will show you how to convert the hexadecimal number FA6D 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 FA6D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FA6D by 16⁰, multiply the second to last digit in FA6D by 16¹, multiply the third to last digit in FA6D by 16², multiply the fourth to last digit in FA6D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
6 × 16¹ = 96
A × 16² = 2560
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:

13 + 96 + 2560 + 61440 = 64109

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.

64109 ÷ 2 = 32054 with 1 remainder
32054 ÷ 2 = 16027 with 0 remainder
16027 ÷ 2 = 8013 with 1 remainder
8013 ÷ 2 = 4006 with 1 remainder
4006 ÷ 2 = 2003 with 0 remainder
2003 ÷ 2 = 1001 with 1 remainder
1001 ÷ 2 = 500 with 1 remainder
500 ÷ 2 = 250 with 0 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 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 FA6D hexadecimal to binary:

FA6D hexadecimal = 1111101001101101 binary

Hexadecimal to Binary Converter
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FA6E hexadecimal to binary
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