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Assembly Homework #1

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- Average: 83.6234
- Standard deviation: 21.007
- Max: 100
- Min: 20

- Write down your name and ID
- Use A4 papers
- Use standard symbols
- Define your components
- Do not mix circuits and logic gates
- Do not plagiarize

Problem #5

- X = X3X2X1X0, Y = Y3Y2Y1Y0
- X = Y: (X3=Y3)(X2=Y2)(X1=Y1)(X0=Y0)
- X > Y: (X3>Y3) + (X3=Y3)(X2>Y2) + (X3=Y3)(X2=Y2) (X1>Y1) + (X3=Y3)(X2=Y2)(X1=Y1)(X0>Y0)

x > y: xy’

x = y: x’y’ + xy

x < y: x’y

- More then 2 inputs for 1-bit comparator (control signal, previous results, etc)
- Using adder/substractor (note: 4-bit is not enough!)

- 5 points per each components (1-bit comparator, X>Y, X=Y, X<Y)
- 15–20 points: correct with minor mistakes
- 10-15 points: correct with many minor mistakes
- 5-10 points: (maybe) correct major mistakes
- 0-5 points: I cannot understand it…

Problem #6

Solution 1

Z2Z1Z0 = X2X1X0 + Y2Y1Y0

cin

X2 X1 X0 Y2 Y1 Y0

X0 ×Y0

Y0

Y1

Y2

3-bit adder

Z0

0

Z0

Z1

Z2

X1 ×Y0

3-bit adder

X0

X1

X2

X2 ×Y0

Z1

X0 ×Y1

cout

X1 ×Y1

0

X2 ×Y1

3-bit adder

Z2

Z3

Z4

X0 ×Y2

X1 ×Y2

X2 ×Y2

Z5

Solution 2

X2 X1 X0 Y2 Y1 Y0

y

X0 ×Y0

Z0

half adder

x

s

X0 ×Y1

X1 ×Y0

half adder

Z1

c

X0 ×Y2

cin

X1 ×Y1

full adder

half adder

Z2

x

full adder

X2 ×Y0

s

y

X2 ×Y1

full adder

half adder

cout

Z3

X1 ×Y2

full adder

Z4

X2 ×Y2

Z5

x1

- No answer(-20)
- No circuit drawing (-10)
- Wrong circuits (-1~-5)
- New component without
implementation(-1~-5)

- 3-to-1 multiplier (X[3..1] × Y)
- Multiple-input adder (X+Y+Z)

- Other error(-1~-5)

half adder

s

x2

c

cin

full adder

s

x3

cout