5A71 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5A71 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 5A71 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5A71 by 16⁰, multiply the second to last digit in 5A71 by 16¹, multiply the third to last digit in 5A71 by 16², multiply the fourth to last digit in 5A71 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
7 × 16¹ = 112
A × 16² = 2560
5 × 16³ = 20480

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:

1 + 112 + 2560 + 20480 = 23153

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.

23153 ÷ 2 = 11576 with 1 remainder
11576 ÷ 2 = 5788 with 0 remainder
5788 ÷ 2 = 2894 with 0 remainder
2894 ÷ 2 = 1447 with 0 remainder
1447 ÷ 2 = 723 with 1 remainder
723 ÷ 2 = 361 with 1 remainder
361 ÷ 2 = 180 with 1 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 5A71 hexadecimal to binary:

5A71 hexadecimal = 101101001110001 binary

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5A72 hexadecimal to binary
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