
Here we will show you how to convert the hexadecimal number B484 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 B484 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in B484 by 16⁰, multiply the second to last digit in B484 by 16¹, multiply the third to last digit in B484 by 16², multiply the fourth to last digit in B484 by 16³, and so on, until all the digits are used.
4 × 16⁰ = 4
8 × 16¹ = 128
4 × 16² = 1024
B × 16³ = 45056
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:
4 + 128 + 1024 + 45056 = 46212
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.
46212 ÷ 2 = 23106 with 0 remainder
23106 ÷ 2 = 11553 with 0 remainder
11553 ÷ 2 = 5776 with 1 remainder
5776 ÷ 2 = 2888 with 0 remainder
2888 ÷ 2 = 1444 with 0 remainder
1444 ÷ 2 = 722 with 0 remainder
722 ÷ 2 = 361 with 0 remainder
361 ÷ 2 = 180 with 1 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 B484 hexadecimal to binary:
B484 hexadecimal = 1011010010000100 binary
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B485 hexadecimal to binary
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