3E1B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3E1B 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 3E1B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3E1B by 16⁰, multiply the second to last digit in 3E1B by 16¹, multiply the third to last digit in 3E1B by 16², multiply the fourth to last digit in 3E1B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
1 × 16¹ = 16
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:

11 + 16 + 3584 + 12288 = 15899

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.

15899 ÷ 2 = 7949 with 1 remainder
7949 ÷ 2 = 3974 with 1 remainder
3974 ÷ 2 = 1987 with 0 remainder
1987 ÷ 2 = 993 with 1 remainder
993 ÷ 2 = 496 with 1 remainder
496 ÷ 2 = 248 with 0 remainder
248 ÷ 2 = 124 with 0 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 3E1B hexadecimal to binary:

3E1B hexadecimal = 11111000011011 binary

Hexadecimal to Binary Converter
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