232A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 232A 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 232A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 232A by 16⁰, multiply the second to last digit in 232A by 16¹, multiply the third to last digit in 232A by 16², multiply the fourth to last digit in 232A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32
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:

10 + 32 + 768 + 8192 = 9002

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.

9002 ÷ 2 = 4501 with 0 remainder
4501 ÷ 2 = 2250 with 1 remainder
2250 ÷ 2 = 1125 with 0 remainder
1125 ÷ 2 = 562 with 1 remainder
562 ÷ 2 = 281 with 0 remainder
281 ÷ 2 = 140 with 1 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 232A hexadecimal to binary:

232A hexadecimal = 10001100101010 binary

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232B hexadecimal to binary
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