EF37 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EF37 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 EF37 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EF37 by 16⁰, multiply the second to last digit in EF37 by 16¹, multiply the third to last digit in EF37 by 16², multiply the fourth to last digit in EF37 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
3 × 16¹ = 48
F × 16² = 3840
E × 16³ = 57344

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:

7 + 48 + 3840 + 57344 = 61239

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.

61239 ÷ 2 = 30619 with 1 remainder
30619 ÷ 2 = 15309 with 1 remainder
15309 ÷ 2 = 7654 with 1 remainder
7654 ÷ 2 = 3827 with 0 remainder
3827 ÷ 2 = 1913 with 1 remainder
1913 ÷ 2 = 956 with 1 remainder
956 ÷ 2 = 478 with 0 remainder
478 ÷ 2 = 239 with 0 remainder
239 ÷ 2 = 119 with 1 remainder
119 ÷ 2 = 59 with 1 remainder
59 ÷ 2 = 29 with 1 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 EF37 hexadecimal to binary:

EF37 hexadecimal = 1110111100110111 binary

Hexadecimal to Binary Converter
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EF38 hexadecimal to binary
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