60AF hexadecimal to binary

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

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

F × 16⁰ = 15
A × 16¹ = 160
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 + 160 + 0 + 24576 = 24751

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.

24751 ÷ 2 = 12375 with 1 remainder
12375 ÷ 2 = 6187 with 1 remainder
6187 ÷ 2 = 3093 with 1 remainder
3093 ÷ 2 = 1546 with 1 remainder
1546 ÷ 2 = 773 with 0 remainder
773 ÷ 2 = 386 with 1 remainder
386 ÷ 2 = 193 with 0 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 60AF hexadecimal to binary:

60AF hexadecimal = 110000010101111 binary

Hexadecimal to Binary Converter
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