12. Use 4-bit binary addition, perform -2 + 2. First convert the decimal numbers to signed 2's complement binary numbers. Circle the lower 4 bits of the answer. Is the 4-bit answer correct? There is a short cut to taking the 2's complement. You can flip every bit to the left of the right most one. Let's try it. (+3)10=(0011),2. If we flip every bit to the left of the rightmost 1 (which is in bold and underlined) we'll get (1101), which according to the table above is (-3)10! Let's try another. (-6)10 = (1010),. If we flip every bit to the left of the rightmost 1 (in bold and underlined) we'll get (0110), which is (+6),0- %3D

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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12. Use 4-bit binary addition, perform -2 + 2. First convert the decimal
numbers to signed 2's complement binary numbers. Circle the lower 4 bits
of the answer. Is the 4-bit answer correct?
There is a short cut to taking the 2's complement. You can flip every bit to the
left of the right most one. Let's try it. (+3)10=(0011),. If we flip every bit to
the left of the rightmost 1 (which is in bold and underlined) we’ll get (1101),
which according to the table above is (-3)10! Let's try another. (-6),0 = (1010),.
If we flip every bit to the left of the rightmost 1 (in bold and underlined) we'll
get (0110), which is (+6)10-
13. (+20)10=010100. Take the 2's complement of 010100 by
Taking the 1's complement and adding 1.
b. Using the rightmost 1 shortcut.
14. Check your answer from part 13 a and b (they should be the same) by
converting it to decimal. Since we are using a 6-bit representation, use a
"(-32) 16 8 4 2 1" weighting.
Transcribed Image Text:12. Use 4-bit binary addition, perform -2 + 2. First convert the decimal numbers to signed 2's complement binary numbers. Circle the lower 4 bits of the answer. Is the 4-bit answer correct? There is a short cut to taking the 2's complement. You can flip every bit to the left of the right most one. Let's try it. (+3)10=(0011),. If we flip every bit to the left of the rightmost 1 (which is in bold and underlined) we’ll get (1101), which according to the table above is (-3)10! Let's try another. (-6),0 = (1010),. If we flip every bit to the left of the rightmost 1 (in bold and underlined) we'll get (0110), which is (+6)10- 13. (+20)10=010100. Take the 2's complement of 010100 by Taking the 1's complement and adding 1. b. Using the rightmost 1 shortcut. 14. Check your answer from part 13 a and b (they should be the same) by converting it to decimal. Since we are using a 6-bit representation, use a "(-32) 16 8 4 2 1" weighting.
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