
Here we will show you how to convert the hexadecimal number 35A0 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 35A0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 35A0 by 16⁰, multiply the second to last digit in 35A0 by 16¹, multiply the third to last digit in 35A0 by 16², multiply the fourth to last digit in 35A0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
A × 16¹ = 160
5 × 16² = 1280
3 × 16³ = 12288
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 + 160 + 1280 + 12288 = 13728
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.
13728 ÷ 2 = 6864 with 0 remainder
6864 ÷ 2 = 3432 with 0 remainder
3432 ÷ 2 = 1716 with 0 remainder
1716 ÷ 2 = 858 with 0 remainder
858 ÷ 2 = 429 with 0 remainder
429 ÷ 2 = 214 with 1 remainder
214 ÷ 2 = 107 with 0 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 35A0 hexadecimal to binary:
35A0 hexadecimal = 11010110100000 binary
Hexadecimal to Binary Converter
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35A1 hexadecimal to binary
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