
Here we will show you how to convert the hexadecimal number 50B0 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 50B0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 50B0 by 16⁰, multiply the second to last digit in 50B0 by 16¹, multiply the third to last digit in 50B0 by 16², multiply the fourth to last digit in 50B0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
B × 16¹ = 176
0 × 16² = 0
5 × 16³ = 20480
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:
0 + 176 + 0 + 20480 = 20656
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.
20656 ÷ 2 = 10328 with 0 remainder
10328 ÷ 2 = 5164 with 0 remainder
5164 ÷ 2 = 2582 with 0 remainder
2582 ÷ 2 = 1291 with 0 remainder
1291 ÷ 2 = 645 with 1 remainder
645 ÷ 2 = 322 with 1 remainder
322 ÷ 2 = 161 with 0 remainder
161 ÷ 2 = 80 with 1 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 50B0 hexadecimal to binary:
50B0 hexadecimal = 101000010110000 binary
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50B1 hexadecimal to binary
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