3E67 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3E67 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 3E67 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3E67 by 16⁰, multiply the second to last digit in 3E67 by 16¹, multiply the third to last digit in 3E67 by 16², multiply the fourth to last digit in 3E67 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
6 × 16¹ = 96
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:

7 + 96 + 3584 + 12288 = 15975

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.

15975 ÷ 2 = 7987 with 1 remainder
7987 ÷ 2 = 3993 with 1 remainder
3993 ÷ 2 = 1996 with 1 remainder
1996 ÷ 2 = 998 with 0 remainder
998 ÷ 2 = 499 with 0 remainder
499 ÷ 2 = 249 with 1 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 3E67 hexadecimal to binary:

3E67 hexadecimal = 11111001100111 binary

Hexadecimal to Binary Converter
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3E68 hexadecimal to binary
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