7AFD hexadecimal to binary

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

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

D × 16⁰ = 13
F × 16¹ = 240
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:

13 + 240 + 2560 + 28672 = 31485

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.

31485 ÷ 2 = 15742 with 1 remainder
15742 ÷ 2 = 7871 with 0 remainder
7871 ÷ 2 = 3935 with 1 remainder
3935 ÷ 2 = 1967 with 1 remainder
1967 ÷ 2 = 983 with 1 remainder
983 ÷ 2 = 491 with 1 remainder
491 ÷ 2 = 245 with 1 remainder
245 ÷ 2 = 122 with 1 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 7AFD hexadecimal to binary:

7AFD hexadecimal = 111101011111101 binary

Hexadecimal to Binary Converter
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7AFE hexadecimal to binary
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