
Here we will show you how to convert the hexadecimal number 485B 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 485B from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 485B by 16⁰, multiply the second to last digit in 485B by 16¹, multiply the third to last digit in 485B by 16², multiply the fourth to last digit in 485B by 16³, and so on, until all the digits are used.
B × 16⁰ = 11
5 × 16¹ = 80
8 × 16² = 2048
4 × 16³ = 16384
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:
11 + 80 + 2048 + 16384 = 18523
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.
18523 ÷ 2 = 9261 with 1 remainder
9261 ÷ 2 = 4630 with 1 remainder
4630 ÷ 2 = 2315 with 0 remainder
2315 ÷ 2 = 1157 with 1 remainder
1157 ÷ 2 = 578 with 1 remainder
578 ÷ 2 = 289 with 0 remainder
289 ÷ 2 = 144 with 1 remainder
144 ÷ 2 = 72 with 0 remainder
72 ÷ 2 = 36 with 0 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 485B hexadecimal to binary:
485B hexadecimal = 100100001011011 binary
Hexadecimal to Binary Converter
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485C hexadecimal to binary
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