3A71 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3A71 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 3A71 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3A71 by 16⁰, multiply the second to last digit in 3A71 by 16¹, multiply the third to last digit in 3A71 by 16², multiply the fourth to last digit in 3A71 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
7 × 16¹ = 112
A × 16² = 2560
3 × 16³ = 12288

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 + 12288 = 14961

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.

14961 ÷ 2 = 7480 with 1 remainder
7480 ÷ 2 = 3740 with 0 remainder
3740 ÷ 2 = 1870 with 0 remainder
1870 ÷ 2 = 935 with 0 remainder
935 ÷ 2 = 467 with 1 remainder
467 ÷ 2 = 233 with 1 remainder
233 ÷ 2 = 116 with 1 remainder
116 ÷ 2 = 58 with 0 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 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 3A71 hexadecimal to binary:

3A71 hexadecimal = 11101001110001 binary

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3A72 hexadecimal to binary
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