23B1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 23B1 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 23B1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 23B1 by 16⁰, multiply the second to last digit in 23B1 by 16¹, multiply the third to last digit in 23B1 by 16², multiply the fourth to last digit in 23B1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
B × 16¹ = 176
3 × 16² = 768
2 × 16³ = 8192

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:

1 + 176 + 768 + 8192 = 9137

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.

9137 ÷ 2 = 4568 with 1 remainder
4568 ÷ 2 = 2284 with 0 remainder
2284 ÷ 2 = 1142 with 0 remainder
1142 ÷ 2 = 571 with 0 remainder
571 ÷ 2 = 285 with 1 remainder
285 ÷ 2 = 142 with 1 remainder
142 ÷ 2 = 71 with 0 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 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 23B1 hexadecimal to binary:

23B1 hexadecimal = 10001110110001 binary

Hexadecimal to Binary Converter
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23B2 hexadecimal to binary
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