30A7 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 30A7 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 30A7 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 30A7 by 16⁰, multiply the second to last digit in 30A7 by 16¹, multiply the third to last digit in 30A7 by 16², multiply the fourth to last digit in 30A7 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
A × 16¹ = 160
0 × 16² = 0
3 × 16³ = 12288

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:

7 + 160 + 0 + 12288 = 12455

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.

12455 ÷ 2 = 6227 with 1 remainder
6227 ÷ 2 = 3113 with 1 remainder
3113 ÷ 2 = 1556 with 1 remainder
1556 ÷ 2 = 778 with 0 remainder
778 ÷ 2 = 389 with 0 remainder
389 ÷ 2 = 194 with 1 remainder
194 ÷ 2 = 97 with 0 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 30A7 hexadecimal to binary:

30A7 hexadecimal = 11000010100111 binary

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30A8 hexadecimal to binary
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