Slide 30 and Slide 34 of Lecture L2 show two different implementations of integer multiplication. (Where the example is discussed of 0010 X 0110 (Decimal 2 X Decimal 6 = Decimal 12) ) In your own words indicate what is the difference between these methods, and the savings in the second method. Show how the multiplication works for each when you multiply the number 0101 by 0011. (Show it similar to the table in those two slides)

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Slide 30 and Slide 34 of Lecture L2 show two different implementations of integer multiplication. (Where the example is discussed of 0010 X 0110 (Decimal 2 X Decimal 6 = Decimal 12) )

In your own words indicate what is the difference between these methods, and the savings in the second method.

Show how the multiplication works for each when you multiply the number 0101 by 0011. (Show it similar to the table in those two slides)

Multiplication "movement"
• If we are doing a 4 bit X 4 bit, do we need an 8 bit adder? No!
• Can we get a carry out?
• Shift the partial product to the right each time
1000
x 1001
1000
1000
x 1001
1000
1000
1000
x 1001
1000
x 1001
1000
000
0000
0000
0000
0000
0000
1000
1001000
0000
0000
1000
1001000
1000
1001000|
1000
1001000
CS3339 Dr. Joshi, Texas State University
34
Transcribed Image Text:Multiplication "movement" • If we are doing a 4 bit X 4 bit, do we need an 8 bit adder? No! • Can we get a carry out? • Shift the partial product to the right each time 1000 x 1001 1000 1000 x 1001 1000 1000 1000 x 1001 1000 x 1001 1000 000 0000 0000 0000 0000 0000 1000 1001000 0000 0000 1000 1001000 1000 1001000| 1000 1001000 CS3339 Dr. Joshi, Texas State University 34
Problems with this method?
• The multiplicand is twice as wide as needed!
• The product register does not need to be twice the word length until
the last step as it is being filled in slowly, can we do something
differently here?
• The adder is 64 bits wide, though we are never adding 64bits at a
time!
CS3339 Dr. Joshi, Texas State University
30
Transcribed Image Text:Problems with this method? • The multiplicand is twice as wide as needed! • The product register does not need to be twice the word length until the last step as it is being filled in slowly, can we do something differently here? • The adder is 64 bits wide, though we are never adding 64bits at a time! CS3339 Dr. Joshi, Texas State University 30
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