462B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 462B 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 462B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 462B by 16⁰, multiply the second to last digit in 462B by 16¹, multiply the third to last digit in 462B by 16², multiply the fourth to last digit in 462B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
2 × 16¹ = 32
6 × 16² = 1536
4 × 16³ = 16384

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 + 32 + 1536 + 16384 = 17963

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.

17963 ÷ 2 = 8981 with 1 remainder
8981 ÷ 2 = 4490 with 1 remainder
4490 ÷ 2 = 2245 with 0 remainder
2245 ÷ 2 = 1122 with 1 remainder
1122 ÷ 2 = 561 with 0 remainder
561 ÷ 2 = 280 with 1 remainder
280 ÷ 2 = 140 with 0 remainder
140 ÷ 2 = 70 with 0 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 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 462B hexadecimal to binary:

462B hexadecimal = 100011000101011 binary

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

462C hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.