3D59 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3D59 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 3D59 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3D59 by 16⁰, multiply the second to last digit in 3D59 by 16¹, multiply the third to last digit in 3D59 by 16², multiply the fourth to last digit in 3D59 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
5 × 16¹ = 80
D × 16² = 3328
3 × 16³ = 12288

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 + 12288 = 15705

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.

15705 ÷ 2 = 7852 with 1 remainder
7852 ÷ 2 = 3926 with 0 remainder
3926 ÷ 2 = 1963 with 0 remainder
1963 ÷ 2 = 981 with 1 remainder
981 ÷ 2 = 490 with 1 remainder
490 ÷ 2 = 245 with 0 remainder
245 ÷ 2 = 122 with 1 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 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 3D59 hexadecimal to binary:

3D59 hexadecimal = 11110101011001 binary

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