FA77 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FA77 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 FA77 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FA77 by 16⁰, multiply the second to last digit in FA77 by 16¹, multiply the third to last digit in FA77 by 16², multiply the fourth to last digit in FA77 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
7 × 16¹ = 112
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:

7 + 112 + 2560 + 61440 = 64119

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.

64119 ÷ 2 = 32059 with 1 remainder
32059 ÷ 2 = 16029 with 1 remainder
16029 ÷ 2 = 8014 with 1 remainder
8014 ÷ 2 = 4007 with 0 remainder
4007 ÷ 2 = 2003 with 1 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 FA77 hexadecimal to binary:

FA77 hexadecimal = 1111101001110111 binary

Hexadecimal to Binary Converter
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