2A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2A 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 2A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2A by 16⁰, multiply the second to last digit in 2A by 16¹, multiply the third to last digit in 2A by 16², multiply the fourth to last digit in 2A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32

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 + 32 = 42

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.

42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 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 2A hexadecimal to binary:

2A hexadecimal = 101010 binary

Hexadecimal to Binary Converter
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2B hexadecimal to binary
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