A305 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A305 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 A305 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A305 by 16⁰, multiply the second to last digit in A305 by 16¹, multiply the third to last digit in A305 by 16², multiply the fourth to last digit in A305 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
0 × 16¹ = 0
3 × 16² = 768
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 + 0 + 768 + 40960 = 41733

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.

41733 ÷ 2 = 20866 with 1 remainder
20866 ÷ 2 = 10433 with 0 remainder
10433 ÷ 2 = 5216 with 1 remainder
5216 ÷ 2 = 2608 with 0 remainder
2608 ÷ 2 = 1304 with 0 remainder
1304 ÷ 2 = 652 with 0 remainder
652 ÷ 2 = 326 with 0 remainder
326 ÷ 2 = 163 with 0 remainder
163 ÷ 2 = 81 with 1 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 A305 hexadecimal to binary:

A305 hexadecimal = 1010001100000101 binary

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A306 hexadecimal to binary
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