129A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 129A 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 129A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 129A by 16⁰, multiply the second to last digit in 129A by 16¹, multiply the third to last digit in 129A by 16², multiply the fourth to last digit in 129A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
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:

10 + 144 + 512 + 4096 = 4762

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.

4762 ÷ 2 = 2381 with 0 remainder
2381 ÷ 2 = 1190 with 1 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 129A hexadecimal to binary:

129A hexadecimal = 1001010011010 binary

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129B hexadecimal to binary
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