159B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 159B 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 159B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 159B by 16⁰, multiply the second to last digit in 159B by 16¹, multiply the third to last digit in 159B by 16², multiply the fourth to last digit in 159B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
9 × 16¹ = 144
5 × 16² = 1280
1 × 16³ = 4096

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 + 144 + 1280 + 4096 = 5531

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.

5531 ÷ 2 = 2765 with 1 remainder
2765 ÷ 2 = 1382 with 1 remainder
1382 ÷ 2 = 691 with 0 remainder
691 ÷ 2 = 345 with 1 remainder
345 ÷ 2 = 172 with 1 remainder
172 ÷ 2 = 86 with 0 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 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 159B hexadecimal to binary:

159B hexadecimal = 1010110011011 binary

Hexadecimal to Binary Converter
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