2. Convert the following two's complement binary numbers to decimal numbers. These numbers are integers.
2. Convert the following two's complement binary numbers to decimal numbers. These numbers are integers.
a. 110101 b. 01101010 c. 10110101
3. Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Write the results in 6-bit two's complement binary number format and decimal number format. Indicate whether or not the sum overflows a 6-bit result.
a. 14 + 12 b. 30 + 2 C. -7 + 20 d. -18-17
4. What is the signed/magnitude and two's complement range of numbers that can be represented with:
a. 16 bits b. 32 bits
Homework Answers
Add Answer to:
2. Convert the following two's complement binary numbers to decimal numbers. These numbers are integers.
Convert the following decimal numbers to 6-bit two's complement binary number and add them. Keep result...
Convert the following decimal numbers to 6-bit two's complement binary number and add them. Keep result in binary form. Enter yes/no for any overflows (overflows only, not carried bits). 16 + 9 .............. Overflow?................... 27 + 31 .............. Overflow?....................... (-4) + 19 .............. Overflow? ........................ 3 + (-32) ............ Overflow? ........................ (-16) + (-9) ............... Overflow? .............................. (-27) + (-31) ................ Overflow? ...........................................
(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)
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)...
1. What is the largest decimal number we can represent with a 16 bit two's complement...
1. What is the largest decimal number we can represent with a 16 bit two's complement number? 2. Convert the following signed binary numbers to decimals. 11001 010011 1110100 1100111 3. Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Note if there is an overflow. 7 + 13 Two's complement/binary number for 7: Two's complement/binary number for 13: Sum: Overflow? 4. Convert the following decimal numbers to 6-bit two's complement binary numbers...
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...
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
Perform the following binary multiplications using 7-bit signed numbers in two's complement format. Convert them to...
Perform the following binary multiplications using 7-bit signed numbers in two's complement format. Convert them to decimal, and verify the correct result of the operation.
Exercise 1.25 Convert the following decimal numbers to unsigned binary numbers Exercise 1.31 Repeat Exercise 1.29,...
Exercise 1.25 Convert the following decimal numbers to unsigned binary numbers Exercise 1.31 Repeat Exercise 1.29, but convert to 8-bit sign/magnitude numbers KExercise 1.32 Repeat Exercise 1.30, but convert to 8-bit sign/magnitude numbers (a) 4210 (b) 6310 Exercise 1.33 Convert the following 4-bit two's complement numbers to 8-bit two's complement numbers. (c) 22910 (d) 84510 (a) 0101 b) 1010 XExercise 1.26 Convert the following decimal numbers to unsigned binary numbers. Exercise 1.34 Convert the following 4-bit two's complement numbers to...
Please convert the 4-bit, signed two's complement value to it's unsigned magnitude in binary and it's...
Please convert the 4-bit, signed two's complement value to it's unsigned magnitude in binary and it's signed decimal value: 0b1100
4. What decimal value does the 8-bit binary number 10011110 have if:
4. What decimal value does the 8-bit binary number 10011110 have if: a) It is interpreted as an unsigned number? b) It is on a computer using signed-magnitude representation? c) It is on a computer using ones complement representation? d) It is on a computer using twos complement representation? 5. Given the following two binary numbers: 11111100 and 01110000. a) Which of these two numbers is the larger unsigned binary number? b) Which of these two is the larger when it is being...
(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)
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)...
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...
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
Perform the following binary multiplications using 7-bit signed numbers in two's complement format. Convert them to decimal, and verify the correct result of the operation.
Exercise 1.25 Convert the following decimal numbers to unsigned binary numbers Exercise 1.31 Repeat Exercise 1.29, but convert to 8-bit sign/magnitude numbers KExercise 1.32 Repeat Exercise 1.30, but convert to 8-bit sign/magnitude numbers (a) 4210 (b) 6310 Exercise 1.33 Convert the following 4-bit two's complement numbers to 8-bit two's complement numbers. (c) 22910 (d) 84510 (a) 0101 b) 1010 XExercise 1.26 Convert the following decimal numbers to unsigned binary numbers. Exercise 1.34 Convert the following 4-bit two's complement numbers to...
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