F357 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F357 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 F357 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F357 by 16⁰, multiply the second to last digit in F357 by 16¹, multiply the third to last digit in F357 by 16², multiply the fourth to last digit in F357 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
5 × 16¹ = 80
3 × 16² = 768
F × 16³ = 61440

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:

7 + 80 + 768 + 61440 = 62295

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.

62295 ÷ 2 = 31147 with 1 remainder
31147 ÷ 2 = 15573 with 1 remainder
15573 ÷ 2 = 7786 with 1 remainder
7786 ÷ 2 = 3893 with 0 remainder
3893 ÷ 2 = 1946 with 1 remainder
1946 ÷ 2 = 973 with 0 remainder
973 ÷ 2 = 486 with 1 remainder
486 ÷ 2 = 243 with 0 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 F357 hexadecimal to binary:

F357 hexadecimal = 1111001101010111 binary

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

F358 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.