305A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 305A 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 305A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 305A by 16⁰, multiply the second to last digit in 305A by 16¹, multiply the third to last digit in 305A by 16², multiply the fourth to last digit in 305A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
5 × 16¹ = 80
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:

10 + 80 + 0 + 12288 = 12378

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.

12378 ÷ 2 = 6189 with 0 remainder
6189 ÷ 2 = 3094 with 1 remainder
3094 ÷ 2 = 1547 with 0 remainder
1547 ÷ 2 = 773 with 1 remainder
773 ÷ 2 = 386 with 1 remainder
386 ÷ 2 = 193 with 0 remainder
193 ÷ 2 = 96 with 1 remainder
96 ÷ 2 = 48 with 0 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 305A hexadecimal to binary:

305A hexadecimal = 11000001011010 binary

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305B hexadecimal to binary
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