Overview of the Circuit

1
Overview of the Circuit

• Multiplier
• Subtractor
• Comparator
• Multiplexer

2
Block Diagram
beta
16
1 if xgty, else 0
a
x
out
comp
sel
b
y
16

sub
-
alpha
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Functions Of Individual Parts

• Inputs two, 16 unsigned bits each
• ( A and B)
• Multiplication Alpha and Beta terms
• Subtraction ((original A)-(AlphaB))
• Comparators (A gt B) out 1, else out 0
• Multiplexer
• (Inputs Select, ABeta, subtractor output)
• Select 1, final_out x
• Select 0, final_out y

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Simulation
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Problems

• Representation of floating point number
• Final output is 16 bits or 2 bytes while
  a floating point number is represented
• using 32 bit or 4 Bytes
• 2. How rounding affects the overall project
  circuit

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Traditional Representation of Floating Point
Values
Exponential Range 28 256 (128 negatives, 1
zero, 127 positives) Accuracy Depends on the
Mantissa bits or 223
Signed
Mantissa
Exponent
Bit
1
8 Bits
23 Bits
Bit
32
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Feasibility

• Solution to floating point
• High feasibility of implementation
• How it affects total output of whole circuit.
• Simulations test----limiting values
• Example (FFFFh)