
Here we will show you how to convert the hexadecimal number A4BD 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 A4BD from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in A4BD by 16⁰, multiply the second to last digit in A4BD by 16¹, multiply the third to last digit in A4BD by 16², multiply the fourth to last digit in A4BD by 16³, and so on, until all the digits are used.
D × 16⁰ = 13
B × 16¹ = 176
4 × 16² = 1024
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:
13 + 176 + 1024 + 40960 = 42173
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.
42173 ÷ 2 = 21086 with 1 remainder
21086 ÷ 2 = 10543 with 0 remainder
10543 ÷ 2 = 5271 with 1 remainder
5271 ÷ 2 = 2635 with 1 remainder
2635 ÷ 2 = 1317 with 1 remainder
1317 ÷ 2 = 658 with 1 remainder
658 ÷ 2 = 329 with 0 remainder
329 ÷ 2 = 164 with 1 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 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 A4BD hexadecimal to binary:
A4BD hexadecimal = 1010010010111101 binary
Hexadecimal to Binary Converter
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A4BE hexadecimal to binary
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