a.
Explanation of Solution
Perform the addition of binary number
The addition in two’s complement notation is given below:
- Binary addition is used to add binary strings of the same length.
- Add the binary number in two’s complement notation; an extra bit can be generated in the final answer on the left.
- Neglect the extra bit generated on the left of the answer.
- Add the binary number by following the above process
b.
Explanation of Solution
Perform the addition of binary number
The addition in two’s complement notation is given below:
- Binary addition is used to add binary strings of the same length.
- Add the binary number in two’s complement notation; an extra bit can be generated in the final answer on the left.
- Neglect the extra bit generated on the left of the answer.
- Add the binary number by following the above process.
c.
Explanation of Solution
Perform the addition of binary number
The addition in two’s complement notation is given below:
- Binary addition is used to add binary strings of the same length.
- Add the binary number in two’s complement notation; an extra bit can be generated in the final answer on the left.
- Neglect the extra bit generated on the left of the answer.
- Add the binary number by following the above process.
- Convert the above answer into decimal notation by multiplying every bit of binary number to the power of two from right to left
d.
Explanation of Solution
Perform the addition of binary number
The addition in two’s complement notation is given below:
- Binary addition is used to add binary strings of the same length.
- Add the binary number in two’s complement notation; an extra bit can be generated in the final answer on the left.
- Neglect the extra bit generated on the left of the answer.
- Add the binary number by following the above process.
- Convert the above answer into decimal notation by multiplying every bit of binary number to the power of two from right to left
e.
Explanation of Solution
Perform the addition of binary number
The addition in two’s complement notation is given below:
- Binary addition is used to add binary strings of the same length.
- Add the binary number in two’s complement notation; an extra bit can be generated in the final answer on the left.
- Neglect the extra bit generated on the left of the answer.
- Add the binary number by following the above process.
- In the above addition, an extra bit is generated on the left of the answer that must be neglected.
- Convert the above answer into decimal notation by multiplying every bit of binary number to the power of two from right to left
f.
Explanation of Solution
Perform the addition of binary number
The addition in two’s complement notation is given below:
- Binary addition is used to add binary strings of the same length.
- Add the binary number in two’s complement notation; an extra bit can be generated in the final answer on the left.
- Neglect the extra bit generated on the left of the answer.
- Add the binary number by following the above process.
- Convert the above answer into decimal notation by multiplying every bit of binary number to the power of two from right to left
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Chapter 1 Solutions
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
- A(n) __________ is an integer stored in double the normal number of bit positions.arrow_forwardA(n) _____ operation transforms a 0 bit value to 1 and a 1 bit value to 0.arrow_forwardPlease add the following numbers in binary using 2’s complement to represent negative numbers.Use a word length of 6 bits (including sign) and indicate if an overflow occurs:(-11) + (-4) = ?11 + 9 = ?(-10) + (-6) = ?arrow_forward
- Decode the following bit patterns using the floating-point format discussed in the text: 01001010 01101101 11011100arrow_forwardBy using 2’s Complement arithmetic, write the following decimal numbers to equivalent8-bit signed numbers and perform the addition. Write the final result after the addition by showing yoursteps. (check the image for reference) i. 6 ii. 14 iii. 15 iv. -6+ 3 + (-5) + (-25) + ( -9)arrow_forward1. Using even parity, add parity bits to the following bit patterns: a. 0110 100 b. 1011 011 c. 0000 000 2. Using odd parity, add parity bits to the following bit patters: a. 0110 100 b. 1011 011 c. 0000 000arrow_forward
- Convert the following decimal numbers to binary 4-bit two’s complementrepresentations, or explain why the conversion is not possible.a. 3 b. -5 c. -10arrow_forwardConvert the following decimal numbers into the one’s complement and two’s complement binary numbers,assuming 16-bit representation: a. (-124)10 = (-007C)16 = (-0000000001111100)2 =b. (-63)10 = (-003F)16 =(-0000000000111111)2=c. (-39)10 = (-0027)16 = (-0000000000100111)2 =arrow_forwardQ.1) Add the following 6-bit two’s complement numbers. State the result in hexadecimal and indicate whether overflow occurred. (a) 0x3A + 0x2F (b) 0x15 + 0x2B (c) 0x19 + 0xAarrow_forward
- How many different values can be represented using 16-bit two’s complement representation? What’s the largest and smallest possible value? Answer the two questions again for n-bit 2’s complement. Please show all steps.arrow_forwardAdd the following numbers in binary using 2's complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. Repeat using 1's complement to represent negative numbers. (If overflow occurs, enter OVERFLOW.)arrow_forwardAdd the following numbers in binary using 2's complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. Repeat for parts (a), (c), (d), and (e) using 1's complement to represent negative numbers. (Include the leading one for negative numbers in your answers. If overflow occurs, enter OVERFLOW.)arrow_forward
- Systems ArchitectureComputer ScienceISBN:9781305080195Author:Stephen D. BurdPublisher:Cengage Learning