Assembly Homework #1

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# Assembly Homework #1 - PowerPoint PPT Presentation

Assembly Homework #1. Average: 83.6234 Standard deviation: 21.007 Max: 100 Min: 20. Some notes. 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. Idea.

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Presentation Transcript
Assembly Homework #1
• Average: 83.6234
• Standard deviation: 21.007
• Max: 100
• Min: 20
Some notes
• Write down your name and ID
• Use A4 papers
• Use standard symbols
• Do not mix circuits and logic gates
• Do not plagiarize

### Problem #5

Idea
• 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

Other solutions
• 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

Z0

0

Z0

Z1

Z2

X1 ×Y0

X0

X1

X2

X2 ×Y0

Z1

X0 ×Y1

cout

X1 ×Y1

0

X2 ×Y1

Z2

Z3

Z4

X0 ×Y2

X1 ×Y2

X2 ×Y2

Z5

Solution 2

X2 X1 X0 Y2 Y1 Y0

y

X0 ×Y0

Z0

x

s

X0 ×Y1

X1 ×Y0

Z1

c

X0 ×Y2

cin

X1 ×Y1

Z2

x

X2 ×Y0

s

y

X2 ×Y1

cout

Z3

X1 ×Y2

Z4

X2 ×Y2

Z5

x1

• No circuit drawing (-10)
• Wrong circuits (-1~-5)
• New component without

implementation(-1~-5)

• 3-to-1 multiplier (X[3..1] × Y)
• Other error(-1~-5)

s

x2

c

cin