71A5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 71A5 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 71A5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 71A5 by 16⁰, multiply the second to last digit in 71A5 by 16¹, multiply the third to last digit in 71A5 by 16², multiply the fourth to last digit in 71A5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
A × 16¹ = 160
1 × 16² = 256
7 × 16³ = 28672

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:

5 + 160 + 256 + 28672 = 29093

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.

29093 ÷ 2 = 14546 with 1 remainder
14546 ÷ 2 = 7273 with 0 remainder
7273 ÷ 2 = 3636 with 1 remainder
3636 ÷ 2 = 1818 with 0 remainder
1818 ÷ 2 = 909 with 0 remainder
909 ÷ 2 = 454 with 1 remainder
454 ÷ 2 = 227 with 0 remainder
227 ÷ 2 = 113 with 1 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 71A5 hexadecimal to binary:

71A5 hexadecimal = 111000110100101 binary

Hexadecimal to Binary Converter
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