235B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 235B 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 235B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 235B by 16⁰, multiply the second to last digit in 235B by 16¹, multiply the third to last digit in 235B by 16², multiply the fourth to last digit in 235B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
5 × 16¹ = 80
3 × 16² = 768
2 × 16³ = 8192

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 + 80 + 768 + 8192 = 9051

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.

9051 ÷ 2 = 4525 with 1 remainder
4525 ÷ 2 = 2262 with 1 remainder
2262 ÷ 2 = 1131 with 0 remainder
1131 ÷ 2 = 565 with 1 remainder
565 ÷ 2 = 282 with 1 remainder
282 ÷ 2 = 141 with 0 remainder
141 ÷ 2 = 70 with 1 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 235B hexadecimal to binary:

235B hexadecimal = 10001101011011 binary

Hexadecimal to Binary Converter
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