7A0F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7A0F 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 7A0F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7A0F by 16⁰, multiply the second to last digit in 7A0F by 16¹, multiply the third to last digit in 7A0F by 16², multiply the fourth to last digit in 7A0F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
0 × 16¹ = 0
A × 16² = 2560
7 × 16³ = 28672

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 + 0 + 2560 + 28672 = 31247

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.

31247 ÷ 2 = 15623 with 1 remainder
15623 ÷ 2 = 7811 with 1 remainder
7811 ÷ 2 = 3905 with 1 remainder
3905 ÷ 2 = 1952 with 1 remainder
1952 ÷ 2 = 976 with 0 remainder
976 ÷ 2 = 488 with 0 remainder
488 ÷ 2 = 244 with 0 remainder
244 ÷ 2 = 122 with 0 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 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 7A0F hexadecimal to binary:

7A0F hexadecimal = 111101000001111 binary

Hexadecimal to Binary Converter
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