3E5F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3E5F 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 3E5F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3E5F by 16⁰, multiply the second to last digit in 3E5F by 16¹, multiply the third to last digit in 3E5F by 16², multiply the fourth to last digit in 3E5F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
5 × 16¹ = 80
E × 16² = 3584
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:

15 + 80 + 3584 + 12288 = 15967

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.

15967 ÷ 2 = 7983 with 1 remainder
7983 ÷ 2 = 3991 with 1 remainder
3991 ÷ 2 = 1995 with 1 remainder
1995 ÷ 2 = 997 with 1 remainder
997 ÷ 2 = 498 with 1 remainder
498 ÷ 2 = 249 with 0 remainder
249 ÷ 2 = 124 with 1 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 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 3E5F hexadecimal to binary:

3E5F hexadecimal = 11111001011111 binary

Hexadecimal to Binary Converter
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