541A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 541A 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 541A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 541A by 16⁰, multiply the second to last digit in 541A by 16¹, multiply the third to last digit in 541A by 16², multiply the fourth to last digit in 541A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
1 × 16¹ = 16
4 × 16² = 1024
5 × 16³ = 20480

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:

10 + 16 + 1024 + 20480 = 21530

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.

21530 ÷ 2 = 10765 with 0 remainder
10765 ÷ 2 = 5382 with 1 remainder
5382 ÷ 2 = 2691 with 0 remainder
2691 ÷ 2 = 1345 with 1 remainder
1345 ÷ 2 = 672 with 1 remainder
672 ÷ 2 = 336 with 0 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 541A hexadecimal to binary:

541A hexadecimal = 101010000011010 binary

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

541B hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.