60EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 60EF 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 60EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 60EF by 16⁰, multiply the second to last digit in 60EF by 16¹, multiply the third to last digit in 60EF by 16², multiply the fourth to last digit in 60EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
0 × 16² = 0
6 × 16³ = 24576

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 + 224 + 0 + 24576 = 24815

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.

24815 ÷ 2 = 12407 with 1 remainder
12407 ÷ 2 = 6203 with 1 remainder
6203 ÷ 2 = 3101 with 1 remainder
3101 ÷ 2 = 1550 with 1 remainder
1550 ÷ 2 = 775 with 0 remainder
775 ÷ 2 = 387 with 1 remainder
387 ÷ 2 = 193 with 1 remainder
193 ÷ 2 = 96 with 1 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 60EF hexadecimal to binary:

60EF hexadecimal = 110000011101111 binary

Hexadecimal to Binary Converter
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