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 and add them. Note if there is an overflow.
17 + 25
Two's complement/binary number for 17:
Two's complement/binary number for 25:
Sum:
Overflow?
5. c
onvert the following decimal numbers to 6-bit two's complement binary numbers and add them. Note if there is an overflow.
(-26) + 8
Two's complement/binary number for -26:
Two's complement/binary number for 8:
Sum:
Overflow?
6.
Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Note if there is an overflow.
31 + (-14)
Two's complement/binary number for 31:
Two's complement/binary number for -14:
Sum:
Overflow?
7.
Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Note if there is an overflow.
(-19) + (-22)
Two's complement/binary number for -19:
Two's complement/binary number for -22:
Sum:
Overflow?
8.
Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Note if there is an overflow.
(-2) + (-29)
Two's complement/binary number for -2:
Two's complement/binary number for -29:
Sum:
Overflow?
1. What is the largest decimal number we can represent with a 16 bit two's complement...
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? ...........................................
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...
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. Express (76) 10 and (-114)10 in 8-bit binary two's complement arithmetic and then add the numbers. What would be the representation (0)10 in 16-bit binary two's complement? (be sure to show your work). 6. Create two 16-bit 2's complement integer such that their sum causes an overflow. Why does the sum of a negative 2's complement number and a positive 2's complement number never generate an overflow? Discuss.
(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)
6 - What decimal number does the bit pattern 0xC0B00000 represent if it is: • [2 pts] A two's complement integer? • [2 pts] An unsigned integer? • [2 pts] A floating point number assuming the IEE 754 single precision format 7 - Perform the following calculations assuming that the values are 8-bit decimal integers stored in two's complement format. Be sure to consider the possibility of overflow. • [2 pts] 10101010 + 00110011 • [2 pts] 10101010 – 00110011...
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...
QUESTION 1 Convert 1 0110 1010 from binary to decimal, assuming nine-bit two's complement binary representation. Provide only the number. For a negative number provide the negative sign. Example 79 NOT +79 or 78 Decimal Example -79 NOT negative 79 or -79 Decimal QUESTION 2 Count the next 10 numbers in base 5 starting after 3434. (Don't include 3434) Provide you answer with only numbers and spaces. No extra spaces or words Example 410 411 412 NOT 410, 411, 412