369A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 369A 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 369A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 369A by 16⁰, multiply the second to last digit in 369A by 16¹, multiply the third to last digit in 369A by 16², multiply the fourth to last digit in 369A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
9 × 16¹ = 144
6 × 16² = 1536
3 × 16³ = 12288

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 + 1536 + 12288 = 13978

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.

13978 ÷ 2 = 6989 with 0 remainder
6989 ÷ 2 = 3494 with 1 remainder
3494 ÷ 2 = 1747 with 0 remainder
1747 ÷ 2 = 873 with 1 remainder
873 ÷ 2 = 436 with 1 remainder
436 ÷ 2 = 218 with 0 remainder
218 ÷ 2 = 109 with 0 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 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 369A hexadecimal to binary:

369A hexadecimal = 11011010011010 binary

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369B hexadecimal to binary
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