P6

Design a 3 input majority circuit

$$\begin{array}{ccc\vert c} x & y & z & F \\ \hline 0 & 0 & ... ... 1 & 1 \\ 1 & 1 & 0 & 1 \\ 1 & 1 & 1 & 1 \\ \end{array}$$

$F = xy + xz + yz$

P8

$$\begin{array}{cccc\vert cccc} A & B & C & D & w & x & y & z\... ...& x & x & x\\ 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\\ \end{array}$$

P12

Design a half subtractor with inputs x and y and outputs D and B.

$$\begin{array}{cc\vert cc} x & y & B & D \\ \hline 0 & 0 & ... ... 1 & 1 \\ 1 & 0 & 0 & 1 \\ 1 & 1 & 0 & 0 \\ \end{array}$$

$D = x'y + xy'$

$B = x'y$

Design a full subtractor

$$\begin{array}{ccc\vert cc} x & y & z & B & D\\ \hline 0 & ... ...0\\ 1 & 1 & 0 & 0 & 0\\ 1 & 1 & 1 & 1 & 1\\ \end{array}$$

$D = x \oplus y \oplus z$

$B = x'y + x'z + yz$

P25

See old book solution to problem 5-18.

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ECE 201; HW solutions for 3rd Edition; Chapter 4

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