163B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 163B 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 163B from hexadecimal to binary are explained below.

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

B × 16⁰ = 11
3 × 16¹ = 48
6 × 16² = 1536
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 + 48 + 1536 + 4096 = 5691

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.

5691 ÷ 2 = 2845 with 1 remainder
2845 ÷ 2 = 1422 with 1 remainder
1422 ÷ 2 = 711 with 0 remainder
711 ÷ 2 = 355 with 1 remainder
355 ÷ 2 = 177 with 1 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 163B hexadecimal to binary:

163B hexadecimal = 1011000111011 binary

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