Design a four-bit combinational circuit 2's complementer. (The output generates the 2's complement of the input binary number.) The table below shows ABCD as input and wxyz as output. Find the Boolean functions for w, x, y and z, respectively.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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1.
X
Design a four-bit combinational circuit 2's complementer. (The output generates the 2's
complement of the input binary number.) The table below shows ABCD as input and wxyz as
output. Find the Boolean functions for w, x, y and z, respectively.
2.
ABCD wxyz
0000 0000
0001 1111
0010 1110
0011 1101
0100 1100
0101 1011
0110 1001
0111 1000
1000 1000
1001 0111
1010 0110
1011 0101
1100 0100
1101 0011
1110 0010
1111 0001
Please trace the calculation A-B on a 4-bit two's complement Adder/Subtractor. Fill out the tables below.
G
FA
S
G
B₁ A₂
FA
$₂
G
#₁ A₁
FA
G
FA
Co
Transcribed Image Text:1. X Design a four-bit combinational circuit 2's complementer. (The output generates the 2's complement of the input binary number.) The table below shows ABCD as input and wxyz as output. Find the Boolean functions for w, x, y and z, respectively. 2. ABCD wxyz 0000 0000 0001 1111 0010 1110 0011 1101 0100 1100 0101 1011 0110 1001 0111 1000 1000 1000 1001 0111 1010 0110 1011 0101 1100 0100 1101 0011 1110 0010 1111 0001 Please trace the calculation A-B on a 4-bit two's complement Adder/Subtractor. Fill out the tables below. G FA S G B₁ A₂ FA $₂ G #₁ A₁ FA G FA Co
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