297F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 297F 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 297F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 297F by 16⁰, multiply the second to last digit in 297F by 16¹, multiply the third to last digit in 297F by 16², multiply the fourth to last digit in 297F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
9 × 16² = 2304
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 + 112 + 2304 + 8192 = 10623

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.

10623 ÷ 2 = 5311 with 1 remainder
5311 ÷ 2 = 2655 with 1 remainder
2655 ÷ 2 = 1327 with 1 remainder
1327 ÷ 2 = 663 with 1 remainder
663 ÷ 2 = 331 with 1 remainder
331 ÷ 2 = 165 with 1 remainder
165 ÷ 2 = 82 with 1 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 297F hexadecimal to binary:

297F hexadecimal = 10100101111111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

2980 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.