650B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 650B 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 650B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 650B by 16⁰, multiply the second to last digit in 650B by 16¹, multiply the third to last digit in 650B by 16², multiply the fourth to last digit in 650B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
5 × 16² = 1280
6 × 16³ = 24576

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:

11 + 0 + 1280 + 24576 = 25867

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.

25867 ÷ 2 = 12933 with 1 remainder
12933 ÷ 2 = 6466 with 1 remainder
6466 ÷ 2 = 3233 with 0 remainder
3233 ÷ 2 = 1616 with 1 remainder
1616 ÷ 2 = 808 with 0 remainder
808 ÷ 2 = 404 with 0 remainder
404 ÷ 2 = 202 with 0 remainder
202 ÷ 2 = 101 with 0 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 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 650B hexadecimal to binary:

650B hexadecimal = 110010100001011 binary

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