A19C hexadecimal to binary

Here we will show you how to convert the hexadecimal number A19C 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 A19C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A19C by 16⁰, multiply the second to last digit in A19C by 16¹, multiply the third to last digit in A19C by 16², multiply the fourth to last digit in A19C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
9 × 16¹ = 144
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:

12 + 144 + 256 + 40960 = 41372

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.

41372 ÷ 2 = 20686 with 0 remainder
20686 ÷ 2 = 10343 with 0 remainder
10343 ÷ 2 = 5171 with 1 remainder
5171 ÷ 2 = 2585 with 1 remainder
2585 ÷ 2 = 1292 with 1 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 A19C hexadecimal to binary:

A19C hexadecimal = 1010000110011100 binary

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