1011 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1011 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 1011 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1011 by 16⁰, multiply the second to last digit in 1011 by 16¹, multiply the third to last digit in 1011 by 16², multiply the fourth to last digit in 1011 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
1 × 16¹ = 16
0 × 16² = 0
1 × 16³ = 4096

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:

1 + 16 + 0 + 4096 = 4113

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.

4113 ÷ 2 = 2056 with 1 remainder
2056 ÷ 2 = 1028 with 0 remainder
1028 ÷ 2 = 514 with 0 remainder
514 ÷ 2 = 257 with 0 remainder
257 ÷ 2 = 128 with 1 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 1011 hexadecimal to binary:

1011 hexadecimal = 1000000010001 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

1012 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.