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Design a combinational circuit with four inputs (A, B, C and D) and four outputs (W, X, Y and Z). When the binary input is less than ten the binary output is two greater than the input. When the binary input is equal or greater than ten the binary output is three less than the input.

Truth Table :

A |
B |
C |
D |
W |
X |
Y |
Z |

0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |

0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 |

0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 |

0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 |

0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 |

0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |

0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 |

0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 |

1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 |

1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 |

1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 |

1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |

1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 |

1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 |

1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 |

1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |

Karnaugh map:

**W:**

AB\CD |
00 |
01 |
11 |
10 |

00 |
0 | 0 | 0 | 0 |

01 |
0 | 0 | 1 | 1 |

11 |
1 | 1 | 1 | 1 |

10 |
1 | 1 | 1 | 0 |

W= BC + AC' + AD

**X:**

AB\CD |
00 |
01 |
11 |
10 |

00 |
0 | 0 | 1 | 1 |

01 |
1 | 1 | 0 | 0 |

11 |
0 | 0 | 1 | 0 |

10 |
0 | 0 | 0 | 1 |

X= A'B'C + B'CD' + A'BC' + ABCD

**Y:**

AB\CD |
00 |
01 |
11 |
10 |

00 |
1 | 1 | 0 | 0 |

01 |
1 | 1 | 0 | 0 |

11 |
0 | 1 | 0 | 1 |

10 |
1 | 1 | 0 | 1 |

Y= A'C' + B'C' + C'D + ACD'

**Z:**

AB\CD |
00 |
01 |
11 |
10 |

00 |
0 | 1 | 1 | 0 |

01 |
0 | 1 | 1 | 0 |

11 |
1 | 0 | 0 | 1 |

10 |
0 | 1 | 0 | 1 |

Z= A'D + B'C'D + ACD' + ABD'

**Combinational Circuit:**

Design a combinational circuit that implements a Binary-to-Grey
Code converter. Your input should be a four-bit binary number, and
your output should be the equivalent four-bit Grey Code value.
First, design the circuit using NAND gates only. Next, design the
circuit using a minimal number of 2-input XOR gates.

Define a relation ~ on Z x Z such that (a,b) ~ (c,d) precisely
when a + b = c + d.
Let R = {[(a,b)] : (a,b) in Z x Z} (i.e. R is the set of all
equivalence classes of Z x Z under the equivalence relation ~). For
each of the following operations, determine whether or not the
operation is well defined. Prove your answer.
[(x,y)] * [(w, z)] = [(x + w, y + z)]
[(x,y)]...

Write a MATLAB assignment statement for each of the following functions, assuming that w, x, y, and z are row vectors of equal length and that c and d are scalars.

X1(t) and x2(t) are two input sources. Design an OPAMP circuit
which satisfies the output y(t): y(t)= 2x1(t) - 3x2(t) +2V

X=5,Y=7,Z=10
A. if(X<Y):
print "LESS"
else:
print "OTHER"
B.
if (x == 1): print "ONE"
elif (x == 2): print "TWO"
elif (x == 3): print "THREE"
elif (x == 4): print "FOUR"
elif (x == 5): print "FIVE"
elif (x == 6): print "SIX"
else: print "OTHER"
C.
if (X<Z):
print X
X = X + 1
D.
while (X<Z):
print X
X = X + 1
Q11. What is the final value of X in D
Q12. Is...

solve by determinants
a.x+y+z=0
3x-y+2z=-1
2x+3y+3z=-5
b. x+2z=1
2x-3y=3
y+z=1
c. x+y+z=10
3x-y=0
3y-2z=-3
d. -8x+5z=-19
-7x+5y=4
-2y+3z=3
e. -x+2y+z-5=0
3x-y-z+7=0
-2x+4y+2z-10=0
f. 1/x+1/y+1/z=12
4/x-3/y=0
2/y-1/z=3

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