FD59 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FD59 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 FD59 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FD59 by 16⁰, multiply the second to last digit in FD59 by 16¹, multiply the third to last digit in FD59 by 16², multiply the fourth to last digit in FD59 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
5 × 16¹ = 80
D × 16² = 3328
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:

9 + 80 + 3328 + 61440 = 64857

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.

64857 ÷ 2 = 32428 with 1 remainder
32428 ÷ 2 = 16214 with 0 remainder
16214 ÷ 2 = 8107 with 0 remainder
8107 ÷ 2 = 4053 with 1 remainder
4053 ÷ 2 = 2026 with 1 remainder
2026 ÷ 2 = 1013 with 0 remainder
1013 ÷ 2 = 506 with 1 remainder
506 ÷ 2 = 253 with 0 remainder
253 ÷ 2 = 126 with 1 remainder
126 ÷ 2 = 63 with 0 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 FD59 hexadecimal to binary:

FD59 hexadecimal = 1111110101011001 binary

Hexadecimal to Binary Converter
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