5231 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5231 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 5231 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5231 by 16⁰, multiply the second to last digit in 5231 by 16¹, multiply the third to last digit in 5231 by 16², multiply the fourth to last digit in 5231 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
3 × 16¹ = 48
2 × 16² = 512
5 × 16³ = 20480

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 + 48 + 512 + 20480 = 21041

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.

21041 ÷ 2 = 10520 with 1 remainder
10520 ÷ 2 = 5260 with 0 remainder
5260 ÷ 2 = 2630 with 0 remainder
2630 ÷ 2 = 1315 with 0 remainder
1315 ÷ 2 = 657 with 1 remainder
657 ÷ 2 = 328 with 1 remainder
328 ÷ 2 = 164 with 0 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 5231 hexadecimal to binary:

5231 hexadecimal = 101001000110001 binary

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5232 hexadecimal to binary
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