The two's-complement system is to be used to add the signed numbers 11110010 and

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Question
The two's-complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.
Options
A. ?14 and ?13, ?27
B. ?113 and ?114, 227
C. ?27 and ?13, 40
D. ?11 and ?16, ?27

Correct Answer

?14 and ?13, ?27

Digital Arithmetic Operations and Circuits problems

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4. Fast-look-ahead carry circuits found in most 4-bit full-adder circuits:
Options
A. determine sign and magnitude
B. reduce propagation delay
C. add a 1 to complemented inputs
D. increase ripple delay

8. Convert each of the following signed binary numbers (two's-complement) to a signed decimal number.
00000101 11111100 11111000
Options
A. ?5 +4 +8
B. +5 ?4 ?8
C. ?5 +252 +248
D. +5 ?252 ?248

9. Subtract the following binary numbers.

0101 1000 1010 0011 1101 1110

?0010 0011 ?0011 1000 ?0101 0111
Options
A. 0011 0100 0110 1010 1000 0110
B. 0011 0101 0110 1011 1000 0111
C. 0011 0101 0110 1010 1000 0111
D. 0011 0101 0110 1010 1000 0110

10. The 2's-complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.
Options
A. ?113 and ?114, ?227
B. ?14 and ?13, ?27
C. ?11 and ?16, ?27
D. ?27 and ?13, ?40

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