A2FC hexadecimal to binary

Here we will show you how to convert the hexadecimal number A2FC 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 A2FC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A2FC by 16⁰, multiply the second to last digit in A2FC by 16¹, multiply the third to last digit in A2FC by 16², multiply the fourth to last digit in A2FC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
F × 16¹ = 240
2 × 16² = 512
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 + 240 + 512 + 40960 = 41724

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.

41724 ÷ 2 = 20862 with 0 remainder
20862 ÷ 2 = 10431 with 0 remainder
10431 ÷ 2 = 5215 with 1 remainder
5215 ÷ 2 = 2607 with 1 remainder
2607 ÷ 2 = 1303 with 1 remainder
1303 ÷ 2 = 651 with 1 remainder
651 ÷ 2 = 325 with 1 remainder
325 ÷ 2 = 162 with 1 remainder
162 ÷ 2 = 81 with 0 remainder
81 ÷ 2 = 40 with 1 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 A2FC hexadecimal to binary:

A2FC hexadecimal = 1010001011111100 binary

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A2FD hexadecimal to binary
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