1B6A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1B6A 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 1B6A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1B6A by 16⁰, multiply the second to last digit in 1B6A by 16¹, multiply the third to last digit in 1B6A by 16², multiply the fourth to last digit in 1B6A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
6 × 16¹ = 96
B × 16² = 2816
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:

10 + 96 + 2816 + 4096 = 7018

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.

7018 ÷ 2 = 3509 with 0 remainder
3509 ÷ 2 = 1754 with 1 remainder
1754 ÷ 2 = 877 with 0 remainder
877 ÷ 2 = 438 with 1 remainder
438 ÷ 2 = 219 with 0 remainder
219 ÷ 2 = 109 with 1 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 1B6A hexadecimal to binary:

1B6A hexadecimal = 1101101101010 binary

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1B6B hexadecimal to binary
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