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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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assembly homework 1
Assembly Homework #1
  • Average: 83.6234
  • Standard deviation: 21.007
  • Max: 100
  • Min: 20
some notes
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
slide4
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
Other solutions
  • More then 2 inputs for 1-bit comparator (control signal, previous results, etc)
  • Using adder/substractor (note: 4-bit is not enough!)
grading policy
Grading policy
  • 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…
slide12

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

slide13

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

grading policy1
Grading policy

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

ad