B17B hexadecimal to binary

Here we will show you how to convert the hexadecimal number B17B 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 B17B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B17B by 16⁰, multiply the second to last digit in B17B by 16¹, multiply the third to last digit in B17B by 16², multiply the fourth to last digit in B17B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
7 × 16¹ = 112
1 × 16² = 256
B × 16³ = 45056

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 + 256 + 45056 = 45435

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.

45435 ÷ 2 = 22717 with 1 remainder
22717 ÷ 2 = 11358 with 1 remainder
11358 ÷ 2 = 5679 with 0 remainder
5679 ÷ 2 = 2839 with 1 remainder
2839 ÷ 2 = 1419 with 1 remainder
1419 ÷ 2 = 709 with 1 remainder
709 ÷ 2 = 354 with 1 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 B17B hexadecimal to binary:

B17B hexadecimal = 1011000101111011 binary

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

B17C hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.