6A73 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6A73 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 6A73 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6A73 by 16⁰, multiply the second to last digit in 6A73 by 16¹, multiply the third to last digit in 6A73 by 16², multiply the fourth to last digit in 6A73 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
7 × 16¹ = 112
A × 16² = 2560
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:

3 + 112 + 2560 + 24576 = 27251

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.

27251 ÷ 2 = 13625 with 1 remainder
13625 ÷ 2 = 6812 with 1 remainder
6812 ÷ 2 = 3406 with 0 remainder
3406 ÷ 2 = 1703 with 0 remainder
1703 ÷ 2 = 851 with 1 remainder
851 ÷ 2 = 425 with 1 remainder
425 ÷ 2 = 212 with 1 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 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 6A73 hexadecimal to binary:

6A73 hexadecimal = 110101001110011 binary

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6A74 hexadecimal to binary
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