299D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 299D 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 299D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 299D by 16⁰, multiply the second to last digit in 299D by 16¹, multiply the third to last digit in 299D by 16², multiply the fourth to last digit in 299D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
9 × 16¹ = 144
9 × 16² = 2304
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:

13 + 144 + 2304 + 8192 = 10653

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.

10653 ÷ 2 = 5326 with 1 remainder
5326 ÷ 2 = 2663 with 0 remainder
2663 ÷ 2 = 1331 with 1 remainder
1331 ÷ 2 = 665 with 1 remainder
665 ÷ 2 = 332 with 1 remainder
332 ÷ 2 = 166 with 0 remainder
166 ÷ 2 = 83 with 0 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 299D hexadecimal to binary:

299D hexadecimal = 10100110011101 binary

Hexadecimal to Binary Converter
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