Homework Answers
Ones complement = Inverting all the bits in binary Twos complement = Ones complement + 1 48 in binary is = 00110000 Twos complement of -48 is = 11010000 80 in binary is = 01010000 Twos complement of -80 is = 10110000 So, -48 - 80 is 11010000 10110000 ----------- 10000000 ----------- As the MSB is 1. We can say that the answer is negative. and Overflow = 1
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(20 pts) Problem 4: Perform the following decimal arithmetic problems by first converting the numbers to...
1. a) Perform the following binary subtractions of unsigned binary numbers. Convert your answer to decimal....
1. a) Perform the following binary subtractions of unsigned binary numbers. Convert your answer to decimal. i) 101001012 - 01001001, ii) 110110102 - 100100112 b) Repeat the calculations above but for when the binary numbers are in two's complement form. Comment on the results of the two methods used, noting and discrepancies. 2. Find the sums of the following unsigned hexadecimal numbers. Indicate whether or not the sum overflows an equivalent 8-bit binary result. a) 1116 +2216 b) 1716 +3516...
Convert the following two's domplement binary numbers to decimal. 100101 -5 27 -27 Question 2 (4...
Convert the following two's domplement binary numbers to decimal. 100101 -5 27 -27 Question 2 (4 points) Convert the following two's complement binary numbers to decimal. 100011 -29 36 -3 28 Question 3 (4 points) Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Indicate whether or not the sum overflows a 6-bit result. 011001+011011 110100; no overflow 100111 100101-001100; overflovw 100110 100100 001010; overflow 100111 + 100101 -001100; no overflow Question 4 (4 points)...
(5 points) Convert the following decimal numbers to 8-bit two's complement binary numbers and carry out...
(5 points) Convert the following decimal numbers to 8-bit two's complement binary numbers and carry out the additions in binary. Indicate whether the sum overflows the 8-bit result. If not show the result as a decimal number. a) 39 + (-78) b) -43 + (-92)
For problems 8, 9 and 10, convert the following decimal numbers into 8‑bit binary numbers as...
For problems 8, 9 and 10, convert the following decimal numbers into 8‑bit binary numbers as required for 2's complement math, and perform the indicated operations. Circle or bold your binary answer and show your work. Notes: Remember that positive numbers are represented in sign-magnitude format in 2's complement math 8. +26 +15 = 9. +26 - 15 = 10. - 26 +15 =
Chapter 1. problem 7: (5+5 pts)Tbe following 6-bit two's complement numbers were found in a computer....
Chapter 1. problem 7: (5+5 pts)Tbe following 6-bit two's complement numbers were found in a computer. What decimal number do they represent'? f) 111001 Chapter 1.problem 9: (10 pts) Each of the following pairs of signed (two's complement) integers are stored in computer words (6 bits). Compute the sum as it is stored in a 6-bit computer word. Show the decimal equivalent of each operand and the sum. Indicate if there is overflow a) 110101 001111
8 - For the following operations: write the operands as 2's complement binary numbers then perform...
8 - For the following operations: write the operands as 2's complement binary numbers then perform the addition or subtraction operation shown. Show all work in binary operating on 8-bit numbers. • [1 pts) 6+3 . [1 pts) 6-3 • [1 pts) 3 - 6
(3 pts) Consider an unsigned fixed point decimal (Base10) representation with 8 digits, 5 to the...
(3 pts) Consider an unsigned fixed point decimal (Base10) representation with 8 digits, 5 to the left of the decimal point and 3 to the right. a. What is the range of the expressible numbers? b. What is the precision? c. What is the error? ______________________________________________________________________________ (3 pts) Convert this unsigned base 2 number, 1001 10112, to each base given below (Note: the space in the binary string is purely for visual convenience) Show your work. Using...
4) This exercise will first present the modified algorithm for computing the product of two numbers...
4) This exercise will first present the modified algorithm for computing the product of two numbers represented in twos complement with an illustrated example and then ask you to repeat for a different number pair The hardware and the flowchart for signed multiplication in twos complement representation of binary numbers will be slightly modified as follows. Use the version of the unsigned multiplication hardware which employs one double-sized register to hold the partial product and the multiplier a. When shifting...
4 UDP Checksum (20 pts) Suppose a sender that is to send a UDP datagram as given below. It is creating the checksu...
4 UDP Checksum (20 pts) Suppose a sender that is to send a UDP datagram as given below. It is creating the checksum 0000 110 0000 0110 0000 1000 Checksum 1. Find the binary sum of the other four fields than checksum. (4 pts) 2. Wrap around the overflow and add to the least significant bit(s) if any. (4 pts) 3. Find the l's complement of the result of Problem 2. (2 pts) Suppose a receiver. Your answer of Problem...
PROBLEM STATEMENT The mini-calculator will use a small ALU to perform arithmetic operations on two 4-bit values which are set using switches. The ALU operations described below are implemented with a...
PROBLEM STATEMENT The mini-calculator will use a small ALU to perform arithmetic operations on two 4-bit values which are set using switches. The ALU operations described below are implemented with an Adder/Subtractor component. A pushbutton input allows the current arithmetic result to be saved. An upgraded mini-calculator allows the saved value to be used in place of B as one of the operands. The small ALU that you will design will use the 4-bit adder myadder4 to do several possible...
1. a) Perform the following binary subtractions of unsigned binary numbers. Convert your answer to decimal. i) 101001012 - 01001001, ii) 110110102 - 100100112 b) Repeat the calculations above but for when the binary numbers are in two's complement form. Comment on the results of the two methods used, noting and discrepancies. 2. Find the sums of the following unsigned hexadecimal numbers. Indicate whether or not the sum overflows an equivalent 8-bit binary result. a) 1116 +2216 b) 1716 +3516...
Convert the following two's domplement binary numbers to decimal. 100101 -5 27 -27 Question 2 (4 points) Convert the following two's complement binary numbers to decimal. 100011 -29 36 -3 28 Question 3 (4 points) Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Indicate whether or not the sum overflows a 6-bit result. 011001+011011 110100; no overflow 100111 100101-001100; overflovw 100110 100100 001010; overflow 100111 + 100101 -001100; no overflow Question 4 (4 points)...
(5 points) Convert the following decimal numbers to 8-bit two's complement binary numbers and carry out the additions in binary. Indicate whether the sum overflows the 8-bit result. If not show the result as a decimal number. a) 39 + (-78) b) -43 + (-92)
Chapter 1. problem 7: (5+5 pts)Tbe following 6-bit two's complement numbers were found in a computer. What decimal number do they represent'? f) 111001 Chapter 1.problem 9: (10 pts) Each of the following pairs of signed (two's complement) integers are stored in computer words (6 bits). Compute the sum as it is stored in a 6-bit computer word. Show the decimal equivalent of each operand and the sum. Indicate if there is overflow a) 110101 001111
8 - For the following operations: write the operands as 2's complement binary numbers then perform the addition or subtraction operation shown. Show all work in binary operating on 8-bit numbers. • [1 pts) 6+3 . [1 pts) 6-3 • [1 pts) 3 - 6
4) This exercise will first present the modified algorithm for computing the product of two numbers represented in twos complement with an illustrated example and then ask you to repeat for a different number pair The hardware and the flowchart for signed multiplication in twos complement representation of binary numbers will be slightly modified as follows. Use the version of the unsigned multiplication hardware which employs one double-sized register to hold the partial product and the multiplier a. When shifting...
4 UDP Checksum (20 pts) Suppose a sender that is to send a UDP datagram as given below. It is creating the checksum 0000 110 0000 0110 0000 1000 Checksum 1. Find the binary sum of the other four fields than checksum. (4 pts) 2. Wrap around the overflow and add to the least significant bit(s) if any. (4 pts) 3. Find the l's complement of the result of Problem 2. (2 pts) Suppose a receiver. Your answer of Problem...
PROBLEM STATEMENT The mini-calculator will use a small ALU to perform arithmetic operations on two 4-bit values which are set using switches. The ALU operations described below are implemented with an Adder/Subtractor component. A pushbutton input allows the current arithmetic result to be saved. An upgraded mini-calculator allows the saved value to be used in place of B as one of the operands. The small ALU that you will design will use the 4-bit adder myadder4 to do several possible...
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