327A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 327A 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 327A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 327A by 16⁰, multiply the second to last digit in 327A by 16¹, multiply the third to last digit in 327A by 16², multiply the fourth to last digit in 327A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
7 × 16¹ = 112
2 × 16² = 512
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 + 112 + 512 + 12288 = 12922

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.

12922 ÷ 2 = 6461 with 0 remainder
6461 ÷ 2 = 3230 with 1 remainder
3230 ÷ 2 = 1615 with 0 remainder
1615 ÷ 2 = 807 with 1 remainder
807 ÷ 2 = 403 with 1 remainder
403 ÷ 2 = 201 with 1 remainder
201 ÷ 2 = 100 with 1 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 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 327A hexadecimal to binary:

327A hexadecimal = 11001001111010 binary

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327B hexadecimal to binary
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