230D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 230D 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 230D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 230D by 16⁰, multiply the second to last digit in 230D by 16¹, multiply the third to last digit in 230D by 16², multiply the fourth to last digit in 230D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
0 × 16¹ = 0
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:

13 + 0 + 768 + 8192 = 8973

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.

8973 ÷ 2 = 4486 with 1 remainder
4486 ÷ 2 = 2243 with 0 remainder
2243 ÷ 2 = 1121 with 1 remainder
1121 ÷ 2 = 560 with 1 remainder
560 ÷ 2 = 280 with 0 remainder
280 ÷ 2 = 140 with 0 remainder
140 ÷ 2 = 70 with 0 remainder
70 ÷ 2 = 35 with 0 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 230D hexadecimal to binary:

230D hexadecimal = 10001100001101 binary

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230E hexadecimal to binary
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