
Here we will show you how to convert the hexadecimal number AFB0 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 AFB0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in AFB0 by 16⁰, multiply the second to last digit in AFB0 by 16¹, multiply the third to last digit in AFB0 by 16², multiply the fourth to last digit in AFB0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
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:
0 + 176 + 3840 + 40960 = 44976
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.
44976 ÷ 2 = 22488 with 0 remainder
22488 ÷ 2 = 11244 with 0 remainder
11244 ÷ 2 = 5622 with 0 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 AFB0 hexadecimal to binary:
AFB0 hexadecimal = 1010111110110000 binary
Hexadecimal to Binary Converter
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AFB1 hexadecimal to binary
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