B188 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B188 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 B188 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B188 by 16⁰, multiply the second to last digit in B188 by 16¹, multiply the third to last digit in B188 by 16², multiply the fourth to last digit in B188 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
8 × 16¹ = 128
1 × 16² = 256
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:

8 + 128 + 256 + 45056 = 45448

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.

45448 ÷ 2 = 22724 with 0 remainder
22724 ÷ 2 = 11362 with 0 remainder
11362 ÷ 2 = 5681 with 0 remainder
5681 ÷ 2 = 2840 with 1 remainder
2840 ÷ 2 = 1420 with 0 remainder
1420 ÷ 2 = 710 with 0 remainder
710 ÷ 2 = 355 with 0 remainder
355 ÷ 2 = 177 with 1 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 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 B188 hexadecimal to binary:

B188 hexadecimal = 1011000110001000 binary

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B189 hexadecimal to binary
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