5ADA hexadecimal to binary

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

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

A × 16⁰ = 10
D × 16¹ = 208
A × 16² = 2560
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:

10 + 208 + 2560 + 20480 = 23258

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.

23258 ÷ 2 = 11629 with 0 remainder
11629 ÷ 2 = 5814 with 1 remainder
5814 ÷ 2 = 2907 with 0 remainder
2907 ÷ 2 = 1453 with 1 remainder
1453 ÷ 2 = 726 with 1 remainder
726 ÷ 2 = 363 with 0 remainder
363 ÷ 2 = 181 with 1 remainder
181 ÷ 2 = 90 with 1 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 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 5ADA hexadecimal to binary:

5ADA hexadecimal = 101101011011010 binary

Hexadecimal to Binary Converter
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5ADB hexadecimal to binary
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