Homework Answers
a) (00011110) is +30 in decimal.
b) (11110100) is -12 in decimal.
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6. Convert the following 8-bit two's complement notation into base ten numbers. (8 points) a. 00011110...
(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)
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...
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) How is -9 (base 10) represented in 8-bit two's complement notation? a) 00001001 b)11110111 c)11110110...
`1) How is -9 (base 10) represented in 8-bit two's complement notation? a) 00001001 b)11110111 c)11110110 d) 11111001 2) The binary addition of 1 + 1 + 1 + 1 = A) 1111(base 2) b) 0001(base2) C) 0100(base2) D) 1001(base2) 3) How is –1 (base 10) represented in 8-bit two's complement notation? A) 1111111- B) 111111111 C) 00000001 D) 00000010
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.
Show the representation of the following values in 8-bit two's complement notation: 15 -75 -3 109
Show the representation of the following values in 8-bit two's complement notation: 15 -75 -3 109
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? ...........................................
Q1) Convert the following negative decimal numbers to 8 bit binary using the 2’s complement (show...
Q1) Convert the following negative decimal numbers to 8 bit binary using the 2’s complement (show the steps): a) -39 b) -127 Q2) Solve the following subtraction problems using 2's complement representation. (Show the steps using 8-bits) a) 19 – 87 b) 89 – 5 Q3) Convert the following numbers into scientific notation: (Note: to show ten raised to the power of n, you can type as 10^n) a) 654.345 b) 0.000000324235 c) 25600000000000 Q4) Convert the following numbers out...
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...
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 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)
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...
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)...
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