A30B hexadecimal to binary

Here we will show you how to convert the hexadecimal number A30B 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 A30B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A30B by 16⁰, multiply the second to last digit in A30B by 16¹, multiply the third to last digit in A30B by 16², multiply the fourth to last digit in A30B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
3 × 16² = 768
A × 16³ = 40960

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 + 768 + 40960 = 41739

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.

41739 ÷ 2 = 20869 with 1 remainder
20869 ÷ 2 = 10434 with 1 remainder
10434 ÷ 2 = 5217 with 0 remainder
5217 ÷ 2 = 2608 with 1 remainder
2608 ÷ 2 = 1304 with 0 remainder
1304 ÷ 2 = 652 with 0 remainder
652 ÷ 2 = 326 with 0 remainder
326 ÷ 2 = 163 with 0 remainder
163 ÷ 2 = 81 with 1 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 A30B hexadecimal to binary:

A30B hexadecimal = 1010001100001011 binary

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