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HOMEWORK 1: CS 209 (Digital Logical Design) DUE DATE: FRIDAY, 01/29/2021 (Via blackboard) All problems must be done in one document, must show the details of solving these problems. Simply writing down the answer will not give you the credit. 1. Convert each of the following numbers into decimal: a) (101011 101), b) (325.34) c) (54D.20). d) (214.32), 2. Convert the following integer decimal numbers into the base as given a) 345 into binary b) 300 into octal c) 2600 into hexadecimal 3. Convert the following decimal numbers a) 127.375 into binary b) 725.5 into Octal c) 1213.296875 into hexadecimal 4. Add the following binary numbers (strictly use binary number addition rules, do not try to convert them into decimal and then add them). Make sure to show the carry bits correctly a) 110111101011 b) 10111 +11011 5. Show the subtractions for the following (show borrow bits properly) a) 101010-11011 b) 110110 - 10111