102A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 102A 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 102A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 102A by 16⁰, multiply the second to last digit in 102A by 16¹, multiply the third to last digit in 102A by 16², multiply the fourth to last digit in 102A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32
0 × 16² = 0
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 + 32 + 0 + 4096 = 4138

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.

4138 ÷ 2 = 2069 with 0 remainder
2069 ÷ 2 = 1034 with 1 remainder
1034 ÷ 2 = 517 with 0 remainder
517 ÷ 2 = 258 with 1 remainder
258 ÷ 2 = 129 with 0 remainder
129 ÷ 2 = 64 with 1 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 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 102A hexadecimal to binary:

102A hexadecimal = 1000000101010 binary

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102B hexadecimal to binary
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