371E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 371E 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 371E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 371E by 16⁰, multiply the second to last digit in 371E by 16¹, multiply the third to last digit in 371E by 16², multiply the fourth to last digit in 371E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
1 × 16¹ = 16
7 × 16² = 1792
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:

14 + 16 + 1792 + 12288 = 14110

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.

14110 ÷ 2 = 7055 with 0 remainder
7055 ÷ 2 = 3527 with 1 remainder
3527 ÷ 2 = 1763 with 1 remainder
1763 ÷ 2 = 881 with 1 remainder
881 ÷ 2 = 440 with 1 remainder
440 ÷ 2 = 220 with 0 remainder
220 ÷ 2 = 110 with 0 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 371E hexadecimal to binary:

371E hexadecimal = 11011100011110 binary

Hexadecimal to Binary Converter
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371F hexadecimal to binary
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