273A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 273A 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 273A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 273A by 16⁰, multiply the second to last digit in 273A by 16¹, multiply the third to last digit in 273A by 16², multiply the fourth to last digit in 273A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
3 × 16¹ = 48
7 × 16² = 1792
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:

10 + 48 + 1792 + 8192 = 10042

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.

10042 ÷ 2 = 5021 with 0 remainder
5021 ÷ 2 = 2510 with 1 remainder
2510 ÷ 2 = 1255 with 0 remainder
1255 ÷ 2 = 627 with 1 remainder
627 ÷ 2 = 313 with 1 remainder
313 ÷ 2 = 156 with 1 remainder
156 ÷ 2 = 78 with 0 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 273A hexadecimal to binary:

273A hexadecimal = 10011100111010 binary

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273B hexadecimal to binary
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