1/22/19, 6:26 PM CMPSC 312 2. 141 Consider the bicycle odometer example covered in class. Is this an example of radix complement or diminished radix complement? Explain your answer. 3. 161 In class we discussed "overflow." Answer the following a. What does overflow mean in the context of unsigned numbers? b. What does overflow mean in the context of signed numbers? c. How is overflow detected in signed numbers? 4. 16] In class we discussed "base conversion. " Answer the following: a. Convert 588 0 to base 3. b. Convert 57.551o to binary with a maximum of six places after the radix point. 5. (6] Show how the the following decimal numbers are represented in binary using: 1) 8-bit signed magnitude; 2) 8-bit signed one's complement; and 3) 8-bit signed two's complement representation Label your answers carefully a.74 b. -38 6. 16] What does the 8-bit binary value 00010101 represent if a computer is using: a. Signed magnitude representation? b. Signed one's complement representation? c. Signed two's complement representation? 7. 16] What does the 8-bit binary value 10000101 represent if a computer is using: a. Signed magnitude representation? b. Signed one's complement representation? c. Signed two's complement representation? 8. 161 Using 4 bits, give the range of values (in decimal) that can be represented (i.e., the largest positive number and the smallest negative number), assuming we are using: a. Signed magnitude representation b. Signed one's complement representation c. Signed two's complement representation 9. 16] From the results of the previous question (plus the example we did in class using 3 bits), generalize the range of values (in decimal) that can be represented in x number of bits using: a. Signed magnitude representation b. Signed one's complement representation c. Signed two's complement representation 1/22/19, 6:26 PM CMPSC 312 2. 141 Consider the bicycle odometer example covered in class. Is this an example of radix complement or diminished radix complement? Explain your answer. 3. 161 In class we discussed "overflow." Answer the following a. What does overflow mean in the context of unsigned numbers? b. What does overflow mean in the context of signed numbers? c. How is overflow detected in signed numbers? 4. 16] In class we discussed "base conversion. " Answer the following: a. Convert 588 0 to base 3. b. Convert 57.551o to binary with a maximum of six places after the radix point. 5. (6] Show how the the following decimal numbers are represented in binary using: 1) 8-bit signed magnitude; 2) 8-bit signed one's complement; and 3) 8-bit signed two's complement representation Label your answers carefully a.74 b. -38 6. 16] What does the 8-bit binary value 00010101 represent if a computer is using: a. Signed magnitude representation? b. Signed one's complement representation? c. Signed two's complement representation? 7. 16] What does the 8-bit binary value 10000101 represent if a computer is using: a. Signed magnitude representation? b. Signed one's complement representation? c. Signed two's complement representation? 8. 161 Using 4 bits, give the range of values (in decimal) that can be represented (i.e., the largest positive number and the smallest negative number), assuming we are using: a. Signed magnitude representation b. Signed one's complement representation c. Signed two's complement representation 9. 16] From the results of the previous question (plus the example we did in class using 3 bits), generalize the range of values (in decimal) that can be represented in x number of bits using: a. Signed magnitude representation b. Signed one's complement representation c. Signed two's complement representation
