A103 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A103 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 A103 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A103 by 16⁰, multiply the second to last digit in A103 by 16¹, multiply the third to last digit in A103 by 16², multiply the fourth to last digit in A103 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
0 × 16¹ = 0
1 × 16² = 256
A × 16³ = 40960

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:

3 + 0 + 256 + 40960 = 41219

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.

41219 ÷ 2 = 20609 with 1 remainder
20609 ÷ 2 = 10304 with 1 remainder
10304 ÷ 2 = 5152 with 0 remainder
5152 ÷ 2 = 2576 with 0 remainder
2576 ÷ 2 = 1288 with 0 remainder
1288 ÷ 2 = 644 with 0 remainder
644 ÷ 2 = 322 with 0 remainder
322 ÷ 2 = 161 with 0 remainder
161 ÷ 2 = 80 with 1 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 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 A103 hexadecimal to binary:

A103 hexadecimal = 1010000100000011 binary

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A104 hexadecimal to binary
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