36AB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 36AB 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 36AB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 36AB by 16⁰, multiply the second to last digit in 36AB by 16¹, multiply the third to last digit in 36AB by 16², multiply the fourth to last digit in 36AB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
6 × 16² = 1536
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:

11 + 160 + 1536 + 12288 = 13995

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.

13995 ÷ 2 = 6997 with 1 remainder
6997 ÷ 2 = 3498 with 1 remainder
3498 ÷ 2 = 1749 with 0 remainder
1749 ÷ 2 = 874 with 1 remainder
874 ÷ 2 = 437 with 0 remainder
437 ÷ 2 = 218 with 1 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 36AB hexadecimal to binary:

36AB hexadecimal = 11011010101011 binary

Hexadecimal to Binary Converter
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36AC hexadecimal to binary
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