A06B hexadecimal to binary

Here we will show you how to convert the hexadecimal number A06B 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 A06B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A06B by 16⁰, multiply the second to last digit in A06B by 16¹, multiply the third to last digit in A06B by 16², multiply the fourth to last digit in A06B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
6 × 16¹ = 96
0 × 16² = 0
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 + 96 + 0 + 40960 = 41067

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.

41067 ÷ 2 = 20533 with 1 remainder
20533 ÷ 2 = 10266 with 1 remainder
10266 ÷ 2 = 5133 with 0 remainder
5133 ÷ 2 = 2566 with 1 remainder
2566 ÷ 2 = 1283 with 0 remainder
1283 ÷ 2 = 641 with 1 remainder
641 ÷ 2 = 320 with 1 remainder
320 ÷ 2 = 160 with 0 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 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 A06B hexadecimal to binary:

A06B hexadecimal = 1010000001101011 binary

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