23F4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 23F4 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 23F4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 23F4 by 16⁰, multiply the second to last digit in 23F4 by 16¹, multiply the third to last digit in 23F4 by 16², multiply the fourth to last digit in 23F4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
F × 16¹ = 240
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:

4 + 240 + 768 + 8192 = 9204

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.

9204 ÷ 2 = 4602 with 0 remainder
4602 ÷ 2 = 2301 with 0 remainder
2301 ÷ 2 = 1150 with 1 remainder
1150 ÷ 2 = 575 with 0 remainder
575 ÷ 2 = 287 with 1 remainder
287 ÷ 2 = 143 with 1 remainder
143 ÷ 2 = 71 with 1 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 23F4 hexadecimal to binary:

23F4 hexadecimal = 10001111110100 binary

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