467B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 467B 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 467B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 467B by 16⁰, multiply the second to last digit in 467B by 16¹, multiply the third to last digit in 467B by 16², multiply the fourth to last digit in 467B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
7 × 16¹ = 112
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 + 112 + 1536 + 16384 = 18043

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.

18043 ÷ 2 = 9021 with 1 remainder
9021 ÷ 2 = 4510 with 1 remainder
4510 ÷ 2 = 2255 with 0 remainder
2255 ÷ 2 = 1127 with 1 remainder
1127 ÷ 2 = 563 with 1 remainder
563 ÷ 2 = 281 with 1 remainder
281 ÷ 2 = 140 with 1 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 467B hexadecimal to binary:

467B hexadecimal = 100011001111011 binary

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