A265 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A265 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 A265 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A265 by 16⁰, multiply the second to last digit in A265 by 16¹, multiply the third to last digit in A265 by 16², multiply the fourth to last digit in A265 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
6 × 16¹ = 96
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:

5 + 96 + 512 + 40960 = 41573

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.

41573 ÷ 2 = 20786 with 1 remainder
20786 ÷ 2 = 10393 with 0 remainder
10393 ÷ 2 = 5196 with 1 remainder
5196 ÷ 2 = 2598 with 0 remainder
2598 ÷ 2 = 1299 with 0 remainder
1299 ÷ 2 = 649 with 1 remainder
649 ÷ 2 = 324 with 1 remainder
324 ÷ 2 = 162 with 0 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 A265 hexadecimal to binary:

A265 hexadecimal = 1010001001100101 binary

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A266 hexadecimal to binary
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