A188 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A188 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 A188 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A188 by 16⁰, multiply the second to last digit in A188 by 16¹, multiply the third to last digit in A188 by 16², multiply the fourth to last digit in A188 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
8 × 16¹ = 128
1 × 16² = 256
A × 16³ = 40960

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 + 40960 = 41352

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.

41352 ÷ 2 = 20676 with 0 remainder
20676 ÷ 2 = 10338 with 0 remainder
10338 ÷ 2 = 5169 with 0 remainder
5169 ÷ 2 = 2584 with 1 remainder
2584 ÷ 2 = 1292 with 0 remainder
1292 ÷ 2 = 646 with 0 remainder
646 ÷ 2 = 323 with 0 remainder
323 ÷ 2 = 161 with 1 remainder
161 ÷ 2 = 80 with 1 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 A188 hexadecimal to binary:

A188 hexadecimal = 1010000110001000 binary

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A189 hexadecimal to binary
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