B27A hexadecimal to binary

Here we will show you how to convert the hexadecimal number B27A 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 B27A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B27A by 16⁰, multiply the second to last digit in B27A by 16¹, multiply the third to last digit in B27A by 16², multiply the fourth to last digit in B27A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
7 × 16¹ = 112
2 × 16² = 512
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 + 112 + 512 + 45056 = 45690

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.

45690 ÷ 2 = 22845 with 0 remainder
22845 ÷ 2 = 11422 with 1 remainder
11422 ÷ 2 = 5711 with 0 remainder
5711 ÷ 2 = 2855 with 1 remainder
2855 ÷ 2 = 1427 with 1 remainder
1427 ÷ 2 = 713 with 1 remainder
713 ÷ 2 = 356 with 1 remainder
356 ÷ 2 = 178 with 0 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 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 B27A hexadecimal to binary:

B27A hexadecimal = 1011001001111010 binary

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B27B hexadecimal to binary
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