120B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 120B 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 120B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 120B by 16⁰, multiply the second to last digit in 120B by 16¹, multiply the third to last digit in 120B by 16², multiply the fourth to last digit in 120B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
2 × 16² = 512
1 × 16³ = 4096

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 + 512 + 4096 = 4619

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.

4619 ÷ 2 = 2309 with 1 remainder
2309 ÷ 2 = 1154 with 1 remainder
1154 ÷ 2 = 577 with 0 remainder
577 ÷ 2 = 288 with 1 remainder
288 ÷ 2 = 144 with 0 remainder
144 ÷ 2 = 72 with 0 remainder
72 ÷ 2 = 36 with 0 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 120B hexadecimal to binary:

120B hexadecimal = 1001000001011 binary

Hexadecimal to Binary Converter
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