5DAF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5DAF 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 5DAF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5DAF by 16⁰, multiply the second to last digit in 5DAF by 16¹, multiply the third to last digit in 5DAF by 16², multiply the fourth to last digit in 5DAF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
A × 16¹ = 160
D × 16² = 3328
5 × 16³ = 20480

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:

15 + 160 + 3328 + 20480 = 23983

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.

23983 ÷ 2 = 11991 with 1 remainder
11991 ÷ 2 = 5995 with 1 remainder
5995 ÷ 2 = 2997 with 1 remainder
2997 ÷ 2 = 1498 with 1 remainder
1498 ÷ 2 = 749 with 0 remainder
749 ÷ 2 = 374 with 1 remainder
374 ÷ 2 = 187 with 0 remainder
187 ÷ 2 = 93 with 1 remainder
93 ÷ 2 = 46 with 1 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 5DAF hexadecimal to binary:

5DAF hexadecimal = 101110110101111 binary

Hexadecimal to Binary Converter
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