7F0A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7F0A 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 7F0A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7F0A by 16⁰, multiply the second to last digit in 7F0A by 16¹, multiply the third to last digit in 7F0A by 16², multiply the fourth to last digit in 7F0A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
0 × 16¹ = 0
F × 16² = 3840
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:

10 + 0 + 3840 + 28672 = 32522

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.

32522 ÷ 2 = 16261 with 0 remainder
16261 ÷ 2 = 8130 with 1 remainder
8130 ÷ 2 = 4065 with 0 remainder
4065 ÷ 2 = 2032 with 1 remainder
2032 ÷ 2 = 1016 with 0 remainder
1016 ÷ 2 = 508 with 0 remainder
508 ÷ 2 = 254 with 0 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 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 7F0A hexadecimal to binary:

7F0A hexadecimal = 111111100001010 binary

Hexadecimal to Binary Converter
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7F0B hexadecimal to binary
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