5A0B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5A0B 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 5A0B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5A0B by 16⁰, multiply the second to last digit in 5A0B by 16¹, multiply the third to last digit in 5A0B by 16², multiply the fourth to last digit in 5A0B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
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:

11 + 0 + 2560 + 20480 = 23051

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.

23051 ÷ 2 = 11525 with 1 remainder
11525 ÷ 2 = 5762 with 1 remainder
5762 ÷ 2 = 2881 with 0 remainder
2881 ÷ 2 = 1440 with 1 remainder
1440 ÷ 2 = 720 with 0 remainder
720 ÷ 2 = 360 with 0 remainder
360 ÷ 2 = 180 with 0 remainder
180 ÷ 2 = 90 with 0 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 5A0B hexadecimal to binary:

5A0B hexadecimal = 101101000001011 binary

Hexadecimal to Binary Converter
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