B52A hexadecimal to binary

Here we will show you how to convert the hexadecimal number B52A 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 B52A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B52A by 16⁰, multiply the second to last digit in B52A by 16¹, multiply the third to last digit in B52A by 16², multiply the fourth to last digit in B52A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32
5 × 16² = 1280
B × 16³ = 45056

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 + 1280 + 45056 = 46378

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.

46378 ÷ 2 = 23189 with 0 remainder
23189 ÷ 2 = 11594 with 1 remainder
11594 ÷ 2 = 5797 with 0 remainder
5797 ÷ 2 = 2898 with 1 remainder
2898 ÷ 2 = 1449 with 0 remainder
1449 ÷ 2 = 724 with 1 remainder
724 ÷ 2 = 362 with 0 remainder
362 ÷ 2 = 181 with 0 remainder
181 ÷ 2 = 90 with 1 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 B52A hexadecimal to binary:

B52A hexadecimal = 1011010100101010 binary

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B52B hexadecimal to binary
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