10101010110100 binary to hexadecimal

Here we will show you how to convert the binary number 10101010110100 to a hexadecimal number. First note that the binary number system only has two different digits (0 & 1) and the hexadecimal number system has 16 different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F).

The four steps used to convert 10101010110100 from binary to hexadecimal are explained below.

Step 1)
Multiply the last digit in 10101010110100 by 2⁰, multiply the second to last digit in 10101010110100 by 2¹, multiply the third to last digit in 10101010110100 by 2², multiply the fourth to last digit in 10101010110100 by 2³, and so on, until all the digits are used:

0 × 2⁰ = 0
0 × 2¹ = 0
1 × 2² = 4
0 × 2³ = 0
1 × 2⁴ = 16
1 × 2⁵ = 32
0 × 2⁶ = 0
1 × 2⁷ = 128
0 × 2⁸ = 0
1 × 2⁹ = 512
0 × 2¹⁰ = 0
1 × 2¹¹ = 2048
0 × 2¹² = 0
1 × 2¹³ = 8192

Step 2)
Add up all the products we got from Step 1, like this:

0 + 0 + 4 + 0 + 16 + 32 + 0 + 128 + 0 + 512 + 0 + 2048 + 0 + 8192 = 10932

Step 3)
Divide the sum from Step 2 by 16. Put the remainder aside. Then divide the whole part by 16 again, and put the remainder aside again. Keep doing this until the whole part is 0. Also, replace remainders if need be: 10=A, 11=B, 12=C, 13=D, 14=E, and 15=F.

10932 ÷ 16 = 683 with 4 remainder
683 ÷ 16 = 42 with B remainder
42 ÷ 16 = 2 with A remainder
2 ÷ 16 = 0 with 2 remainder

Step 4)
Take the remainders from Step 3 and put them together in reverse order to get the answer to 10101010110100 binary to hexadecimal:

10101010110100 binary = 2AB4 hexadecimal

Binary to Hexadecimal Converter
Here you can convert another binary number to hexadecimal. Remember, binary numbers only include digits 0 and 1.

10101010110101 binary to hexadecimal
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