64A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 64A 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 64A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 64A by 16⁰, multiply the second to last digit in 64A by 16¹, multiply the third to last digit in 64A by 16², multiply the fourth to last digit in 64A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
4 × 16¹ = 64
6 × 16² = 1536

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 + 64 + 1536 = 1610

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.

1610 ÷ 2 = 805 with 0 remainder
805 ÷ 2 = 402 with 1 remainder
402 ÷ 2 = 201 with 0 remainder
201 ÷ 2 = 100 with 1 remainder
100 ÷ 2 = 50 with 0 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 64A hexadecimal to binary:

64A hexadecimal = 11001001010 binary

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64B hexadecimal to binary
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