B13A hexadecimal to binary

Here we will show you how to convert the hexadecimal number B13A 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 B13A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B13A by 16⁰, multiply the second to last digit in B13A by 16¹, multiply the third to last digit in B13A by 16², multiply the fourth to last digit in B13A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
3 × 16¹ = 48
1 × 16² = 256
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 + 48 + 256 + 45056 = 45370

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.

45370 ÷ 2 = 22685 with 0 remainder
22685 ÷ 2 = 11342 with 1 remainder
11342 ÷ 2 = 5671 with 0 remainder
5671 ÷ 2 = 2835 with 1 remainder
2835 ÷ 2 = 1417 with 1 remainder
1417 ÷ 2 = 708 with 1 remainder
708 ÷ 2 = 354 with 0 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 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 B13A hexadecimal to binary:

B13A hexadecimal = 1011000100111010 binary

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B13B hexadecimal to binary
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