662A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 662A 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 662A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 662A by 16⁰, multiply the second to last digit in 662A by 16¹, multiply the third to last digit in 662A by 16², multiply the fourth to last digit in 662A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32
6 × 16² = 1536
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:

10 + 32 + 1536 + 24576 = 26154

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.

26154 ÷ 2 = 13077 with 0 remainder
13077 ÷ 2 = 6538 with 1 remainder
6538 ÷ 2 = 3269 with 0 remainder
3269 ÷ 2 = 1634 with 1 remainder
1634 ÷ 2 = 817 with 0 remainder
817 ÷ 2 = 408 with 1 remainder
408 ÷ 2 = 204 with 0 remainder
204 ÷ 2 = 102 with 0 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 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 662A hexadecimal to binary:

662A hexadecimal = 110011000101010 binary

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662B hexadecimal to binary
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