AFB7 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AFB7 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 AFB7 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AFB7 by 16⁰, multiply the second to last digit in AFB7 by 16¹, multiply the third to last digit in AFB7 by 16², multiply the fourth to last digit in AFB7 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
B × 16¹ = 176
F × 16² = 3840
A × 16³ = 40960

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:

7 + 176 + 3840 + 40960 = 44983

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.

44983 ÷ 2 = 22491 with 1 remainder
22491 ÷ 2 = 11245 with 1 remainder
11245 ÷ 2 = 5622 with 1 remainder
5622 ÷ 2 = 2811 with 0 remainder
2811 ÷ 2 = 1405 with 1 remainder
1405 ÷ 2 = 702 with 1 remainder
702 ÷ 2 = 351 with 0 remainder
351 ÷ 2 = 175 with 1 remainder
175 ÷ 2 = 87 with 1 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 AFB7 hexadecimal to binary:

AFB7 hexadecimal = 1010111110110111 binary

Hexadecimal to Binary Converter
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