2645 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2645 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 2645 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2645 by 16⁰, multiply the second to last digit in 2645 by 16¹, multiply the third to last digit in 2645 by 16², multiply the fourth to last digit in 2645 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
4 × 16¹ = 64
6 × 16² = 1536
2 × 16³ = 8192

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:

5 + 64 + 1536 + 8192 = 9797

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.

9797 ÷ 2 = 4898 with 1 remainder
4898 ÷ 2 = 2449 with 0 remainder
2449 ÷ 2 = 1224 with 1 remainder
1224 ÷ 2 = 612 with 0 remainder
612 ÷ 2 = 306 with 0 remainder
306 ÷ 2 = 153 with 0 remainder
153 ÷ 2 = 76 with 1 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 2645 hexadecimal to binary:

2645 hexadecimal = 10011001000101 binary

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2646 hexadecimal to binary
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