3A6B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3A6B 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 3A6B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3A6B by 16⁰, multiply the second to last digit in 3A6B by 16¹, multiply the third to last digit in 3A6B by 16², multiply the fourth to last digit in 3A6B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
6 × 16¹ = 96
A × 16² = 2560
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 + 96 + 2560 + 12288 = 14955

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.

14955 ÷ 2 = 7477 with 1 remainder
7477 ÷ 2 = 3738 with 1 remainder
3738 ÷ 2 = 1869 with 0 remainder
1869 ÷ 2 = 934 with 1 remainder
934 ÷ 2 = 467 with 0 remainder
467 ÷ 2 = 233 with 1 remainder
233 ÷ 2 = 116 with 1 remainder
116 ÷ 2 = 58 with 0 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 3A6B hexadecimal to binary:

3A6B hexadecimal = 11101001101011 binary

Hexadecimal to Binary Converter
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