
Here we will show you how to convert the hexadecimal number B88A 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 B88A from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in B88A by 16⁰, multiply the second to last digit in B88A by 16¹, multiply the third to last digit in B88A by 16², multiply the fourth to last digit in B88A by 16³, and so on, until all the digits are used.
A × 16⁰ = 10
8 × 16¹ = 128
8 × 16² = 2048
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:
10 + 128 + 2048 + 45056 = 47242
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.
47242 ÷ 2 = 23621 with 0 remainder
23621 ÷ 2 = 11810 with 1 remainder
11810 ÷ 2 = 5905 with 0 remainder
5905 ÷ 2 = 2952 with 1 remainder
2952 ÷ 2 = 1476 with 0 remainder
1476 ÷ 2 = 738 with 0 remainder
738 ÷ 2 = 369 with 0 remainder
369 ÷ 2 = 184 with 1 remainder
184 ÷ 2 = 92 with 0 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 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 B88A hexadecimal to binary:
B88A hexadecimal = 1011100010001010 binary
Hexadecimal to Binary Converter
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B88B hexadecimal to binary
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