Chapter 2, Problem 27E

Explanation of Solution

Addition of 2’s complement numbers:

“Yes”, there is a problem.

Justification:

• The given 2’s complement numbers are “0101010101010101” and “0011100111001111”.
• The Left most Significant Bit (LSB) is as sign bit.
• If the sign bit is “0” then the number is positive.
• If the sign bit is “1”, the number is negative.
• The LSB in “0101010101010101” is “0” and it indicates that this number is positive.
• The LSB in “0011100111001111” is “0” and it indicates that this number is also positive.
• The given 2’s complement binary numbers having the same positive sign.
• The process of addition can perform on a single digit at a time from right to left.
• A sum digit and a carry digit are generated at each point.
• It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”...