1299 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1299 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 1299 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1299 by 16⁰, multiply the second to last digit in 1299 by 16¹, multiply the third to last digit in 1299 by 16², multiply the fourth to last digit in 1299 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
9 × 16¹ = 144
2 × 16² = 512
1 × 16³ = 4096

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:

9 + 144 + 512 + 4096 = 4761

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.

4761 ÷ 2 = 2380 with 1 remainder
2380 ÷ 2 = 1190 with 0 remainder
1190 ÷ 2 = 595 with 0 remainder
595 ÷ 2 = 297 with 1 remainder
297 ÷ 2 = 148 with 1 remainder
148 ÷ 2 = 74 with 0 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 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 1299 hexadecimal to binary:

1299 hexadecimal = 1001010011001 binary

Hexadecimal to Binary Converter
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