274F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 274F 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 274F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 274F by 16⁰, multiply the second to last digit in 274F by 16¹, multiply the third to last digit in 274F by 16², multiply the fourth to last digit in 274F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
4 × 16¹ = 64
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:

15 + 64 + 1792 + 8192 = 10063

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.

10063 ÷ 2 = 5031 with 1 remainder
5031 ÷ 2 = 2515 with 1 remainder
2515 ÷ 2 = 1257 with 1 remainder
1257 ÷ 2 = 628 with 1 remainder
628 ÷ 2 = 314 with 0 remainder
314 ÷ 2 = 157 with 0 remainder
157 ÷ 2 = 78 with 1 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 274F hexadecimal to binary:

274F hexadecimal = 10011101001111 binary

Hexadecimal to Binary Converter
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