
Here we will show you how to convert the hexadecimal number ABD0 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 ABD0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in ABD0 by 16⁰, multiply the second to last digit in ABD0 by 16¹, multiply the third to last digit in ABD0 by 16², multiply the fourth to last digit in ABD0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
D × 16¹ = 208
B × 16² = 2816
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 + 208 + 2816 + 40960 = 43984
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.
43984 ÷ 2 = 21992 with 0 remainder
21992 ÷ 2 = 10996 with 0 remainder
10996 ÷ 2 = 5498 with 0 remainder
5498 ÷ 2 = 2749 with 0 remainder
2749 ÷ 2 = 1374 with 1 remainder
1374 ÷ 2 = 687 with 0 remainder
687 ÷ 2 = 343 with 1 remainder
343 ÷ 2 = 171 with 1 remainder
171 ÷ 2 = 85 with 1 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 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 ABD0 hexadecimal to binary:
ABD0 hexadecimal = 1010101111010000 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
ABD1 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.
Copyright | Privacy Policy | Disclaimer | Contact