83AB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 83AB 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 83AB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 83AB by 16⁰, multiply the second to last digit in 83AB by 16¹, multiply the third to last digit in 83AB by 16², multiply the fourth to last digit in 83AB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
3 × 16² = 768
8 × 16³ = 32768

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:

11 + 160 + 768 + 32768 = 33707

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.

33707 ÷ 2 = 16853 with 1 remainder
16853 ÷ 2 = 8426 with 1 remainder
8426 ÷ 2 = 4213 with 0 remainder
4213 ÷ 2 = 2106 with 1 remainder
2106 ÷ 2 = 1053 with 0 remainder
1053 ÷ 2 = 526 with 1 remainder
526 ÷ 2 = 263 with 0 remainder
263 ÷ 2 = 131 with 1 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 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 83AB hexadecimal to binary:

83AB hexadecimal = 1000001110101011 binary

Hexadecimal to Binary Converter
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83AC hexadecimal to binary
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