Question

Convert 311 from decimal to hexadecimal. Show your work.

Answer 1

(311)₁₀ = (137)₁₆

Step-by-step explanation:

To convert a base 10 or decimal number to base 16 or hexadecimal number we have to repeatedly divide the decimal number by 16 until it becomes zero and write the remainders in the reverse direction of obtaining them.

311/16 = 19 remainder=7

19/16=1 remainder = 3

1/16 remainder = 1

Writing the remainder in the reverse direction that is (137)₁₆.

Hence the answer is 137.