
Here we will show you how to convert the hexadecimal number 20D1 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 20D1 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 20D1 by 16⁰, multiply the second to last digit in 20D1 by 16¹, multiply the third to last digit in 20D1 by 16², multiply the fourth to last digit in 20D1 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
D × 16¹ = 208
0 × 16² = 0
2 × 16³ = 8192
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:
1 + 208 + 0 + 8192 = 8401
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.
8401 ÷ 2 = 4200 with 1 remainder
4200 ÷ 2 = 2100 with 0 remainder
2100 ÷ 2 = 1050 with 0 remainder
1050 ÷ 2 = 525 with 0 remainder
525 ÷ 2 = 262 with 1 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 20D1 hexadecimal to binary:
20D1 hexadecimal = 10000011010001 binary
Hexadecimal to Binary Converter
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20D2 hexadecimal to binary
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