Category: 16-bit Twos Complement 5 + 4

Assuming that all numbers are represented in 16-bit two's complement binary, what is the decimal value of the result of adding 5 and 4? Your answer must start with an initial sign, + or -. The rest of your answer must only contain decimal digits.

Question

Category: 16-bit Twos Complement 5 + 4

Assuming that all numbers are represented in 16-bit two's complement binary, what is the decimal value of the result of adding 5 and 4? Your answer must start with an initial sign, + or -. The rest of your answer must only contain decimal digits.

BlackTom AI · Accepted Answer

Consider the operation in 16-bit two's complement representation. Interpreting 5 and 4 as 16-bit signed integers gives decimal values 5 and 4, respectively. Adding them yields 9 in decimal. In binary, 5 is 0000 0000 0000 0101 and 4 is 0000 0000 0000 0100; their sum is 0000 0000 0000 1001, which corresponds to decimal 9. Since 9 lies well within the 16-bit signed range (-32768 to 32767), there is no overflow to worry about. The required output format specifies starting with a sign (+ or -) followed by decimal digits, and because the result is positive, the sign is + and the magnitude is 9. Hence the textual representation would begin with a plus sign and then the digit 9, reflecting a positive decimal result.

4520_COMP_SCI_X_0005 Week 8 Exam

Category: 16-bit Twos Complement 5 + 4 Assuming that all numbers are represented in 16-bit two's complement binary, what is the decimal value of the result of adding 5 and 4? Your answer must start with an initial sign, + or -. The rest of your answer must only contain decimal digits.

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