Mini Quiz 1 Structure

• Two questions
• Question 1: Convert binary number to decimal. Explain your answer
• Question 2: Convert decimal number to binary using BOTH methods explained in class. Write your answer as 1 BYTE number ( 1 BYTE = 8 BITS) Explain your answer
• Range of the numbers is: 0 - 255
• CANNOT use: computers, calculators, cell phones, textbooks, notes (see below what is allowed).

• The only allowed open material - ONE PAGE ( 2 sides) of your own written or ptinted notes.

Exampes

1. Convert binary number 1100 1101 to decimal
   Solution: add power of 2 that corresponds to the bits that are ON ( bits that are equal 1):
   128 + 64 + 8 + 4 + 1 = 205

   Final answer: 205 is decimal equivalent of binary number 1100 1101

2. Convert decimal 38 to binary:
   Solution Method 1:
   128 fits into 38? NO b7 = 0
   64 fits into 38? NO b6 = 0
   32 fits into 38? YES b5 = 1
   38 - 32 = 6
   Continue with 6:
   16 fits into 6? NO b4 = 0
   8 fits into 6? NO b3 = 0
   4 fits into 6 YES b2 = 1
   6 - 4 = 2
   Continue with 2:
   2 fits into 2? YES b1 = 1
   2-2 = 0
   Continue with 0:
   1 fits into 0? NO b0 = 0

   Final answer: Decimal number 38 in binary is 0010 0110

   Method 2 using Integer Division and Remainder:
   38 / 2 = 19 remainder 0 b0 = 0
   19 / 2 = 9 remainder 1 b1 = 1
   9 / 2 = 4 remainder 1 b2 = 1
   4 / 2 = 2 remainder 0 b3 = 0
   2 / 2 = 1 remainder 0 b4 = 0
   1 / 2 = 0 remainder 1 b5 = 1
   As soon as we got 0 the process is stopped and the rest of the bits are 0: b6 = 0, b7 =0

   Final Answer: Decimal number 38 in binary system is: 0010 0110

3. Convert binary number 0100 0100 to decimal
   Solution: add power of 2 that corresponds to the bits that are ON ( bits that are equal 1):
   64 + 4 = 68

   Final answer: 68 is decimal equivalent of binary number 0100 0100

4. Convert decimal 121 to binary:
   Solution Method 1:
   128 fits into 121? NO b7 = 0
   64 fits into 121? YES b6 = 1
   121 - 64 = 57
   Continue with 57
   32 fits into 57? YES b5 = 1
   57 - 32 = 25
   Continue with 25:
   16 fits into 25? YES b4 = 1
   25 - 16 = 9
   Continue with 9
   8 fits into 9? YES b3 = 1
   9 - 8 = 1
   Continue with 1
   4 fits into 1? NO b2 = 0
   2 fits into 1? NO b1 = 0
   1 fits into 1? YES b0 = 1

   Final answer: Decimal number 121 in binary is 0111 1001

   Method 2 using Integer Division and Remainder:
   121 / 2 = 60 remainder 1 b0 = 1
   60 / 2 = 30 remainder 0 b1 = 0
   30 / 2 = 15 remainder 0 b2 = 0
   15 / 2 = 7 remainder 1 b3 = 1
   7 / 2 = 3 remainder 1 b4 = 1
   3 / 2 = 1 remainder 1 b5 = 1
   1 / 2 = 0 remainder 1 b6 = 1
   As soon as we got 0 the process is stopped and the rest of the bits are 0:b7 =0

   Final Answer: Decimal number 121 in binary system is: 0111 1001

   

   Week 3:

   Mini Quiz 2 Friday Sept 12 Structure and Material:

   • Question 1: Encode short word (2-3 letters) into binary. Explain ONE letter in detail.
   • Question 2: Decode short binary sequence into sequence of characters (3-4 letters). Explain ONE BYTE in detail.
   • CANNOT use: computers, calculators, cell phones, textbooks, notes (see below what is allowed).

   • The only allowed open material:

     • ONE PAGE (2 sides) of your own written or ptinted notes
     • ASCII TABLE (will be provided).

   • Example 1: Convert Go! to binary
     Solution: Go! in ASCII is: 71 111 33
     71 to binary:
     71/2 = 35 b0 = 1
     35/2 = 17 b1 = 1
     17/2 = 8 b2 = 1
     8/2 = 4 b3 = 0
     4/2 = 2 b4 = 0
     2/2 = 1 b5 = 0
     1/2 = 0 b6 = 1
     71 in binary: 0100 0111
     111 in binary: 0110 1111
     33 in binary: 0010 0001

     Final answer: Go! in binary: 01000111 01101111 00100001

   • Example 2: Decode: 01101101 01000101 00110010
     Solution: converting each BYTE to decimal
     0110 1101 adding powers of 2 that are ON: 64 + 32 + 8 + 4 + 1 = 109
     0100 0101 is 69
     0011 0010 is 50
     Original message in ASCII 109 69 50

     Final answer: decoded word: mE2

     Mini Quiz 2

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     Week 4:

     Input in Python:

     • For integers use: int(input("user prompt "))

     • For floats use: float(input("user prompt "))

     • For strings use: input("user prompt ") and when inputing the string you must enclose it in double or single quotes

     • For formatted output use function format.
       • For example, to print only 2 decimal digits of the number 1232.566777 use the following statement:

         print(format(1232.566777, '.2f'))

       • For example, to print only 4 decimal digits of the number 1232.566777 use the following statement:

         print(format(1232.566777, '.4f'))

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     TEST 1 on Friday, Sept 19

     TEST 1 Structure

     • Duration: 50 minutes
     • Place: In class
     • Material: can you use computer
     • Part I: 2 questions to write the output of the program that is given to you and explain your answer
     • Part II: 1 question to write short program. Program is similar to the programs that you will write during LAB on Monday and during practice lecture sessions. material only.

     Test 1 Preparation

     TEST 1

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     MINI QUIZ 3

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     MINI QUIZ 4

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     • Test 2 Date: Friday, Oct 10

     • TEST 2 Preparation

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     Homework: Due Day Friday, Oct 17:

     Write a function FtoC that converts Fahrenheit temperature to Celsius temperature. The equation for converting a Fahrenheit to Celsius is:
     Celsius= (5/9)*(Fahrenheit - 32)

     Write a function CtoF that converts Celsius temperature to the correspondent Fahrenheit temperature. The equation for converting a Celsius temperature to Fahrenheit is

     Fahrenheit=(9*Celsius/5)+32

     Write a program that asks user to enter Fahrenheit temperature for TWO days and finds the corresponding Celsius temperatures for these two days. Then the program will ask user to enter Celsius temperature for TWO days and finds the corresponding Fahrenheit temperature for these TWO days.

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     TEST 2

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     Homework 2: Due Day Friday Oct 24

     Write a function aveDigits that finds and RETURNS an average of the digits of the 4-digit positive integer (function parameter). Write a function average that finds and RETURNS an average of three integer numbers (function parameters). Write a function aveLast that finds and RETURNS an average of the last digits of three integer numbers (function parameters). Write a program that first reads 1 integer, if the integer is positive and even, the program reads 3 integers and finds their average. If the number is positive and odd, the program reads 3 integers and finds the average of their last digits, otherwise, the program asks user to enter one 4-digit integer number and finds the average of the digits of the input number.

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     Test 3 OCTOBER 31

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     Loop WHILE and Loop FOR PRACTICE

     LOOP practice 1

     LOOP practice 2

     LOOP practice 3

     Practice

     Exam 4

     Exam 4

     EXAM 5

     Mini Quiz Dec 5

     Mini Quiz 5