CS220_Lab03
Lab #3 (Combinational Logic and ALU)
Name:______________________
Date:______________________ Converting between Octal and Decimal Numbers
| 1. Convert 13378 to decimal (base 10)Use sum of expansion of products (dont skip steps!) |
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| 2. Convert 7110 to octal (base 8)Use the Double-Dabble method of successive divsion |
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| 3. What file permissions does the octal number 5 exhibit? |
4. What file permissions does the octal number 3 exhibit? |
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Converting between Hexadecimal and Decimal Numbers
| 5. Convert AC34D116 to decimal (base 10)Use sum of expansion of products (dont skip steps!) |
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| 6. Convert 36510 to hexadecimal (base 16)Use the Double-Dabble method of successive divsion |
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Adding Signed Binary Numbers (with Twos Complement)
| 7. Add -8 + 5 in 4-digit binary.First convert to Twos Complement binary, then compute the sum. |
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Half Adder (Two Inputs) Design
| 8. Write the Boolean function for the outputs (sum and carry). Use K-maps if needed. Then write the HDL code. |
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sum(a, b) = carry(a, b) = |
| CHIP HalfAdder {IN a, b;OUT sum, carry; PARTS: } |
Full Adder (Three Input) Design
| 9. Write the Boolean function for the outputs (sum and carry). Use K-maps if needed. Then write the HDL code. |
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sum(a, b, c) = carry(a, b, c) = |
| CHIP FullAdder {IN a, b, c;OUT sum, carry; PARTS: } |
Implementing the ALU Design (with signed twos complement numbers)
| f(x,y) = |
0 |
1010 -6 |
0001 1 |
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f(x,y) = |
1 |
1010 |
0001 |
| zx = |
1 |
0000 |
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zx = |
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| nx = |
0 |
0000 |
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nx = |
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| zy = |
1 |
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0000 |
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zy = |
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| ny = |
0 |
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0000 |
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ny = |
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| f = |
1 |
0000 |
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f = |
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| no = |
0 |
0000 [0] |
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no = |
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| f(x,y) = |
-1 |
1010 |
0001 |
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f(x,y) = |
x |
0100 |
0101 |
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no = |
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| f(x,y) = |
y |
1010 |
0011 |
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f(x,y) = |
!x |
1010 |
0101 |
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| f(x,y) = |
!y |
1010 |
0101 |
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f(x,y) = |
-x |
0010 |
1000 |
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| f(x,y) = |
-y |
1010 |
0001 |
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f(x,y) = |
x+1 |
0001 |
0001 |
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| f(x,y) = |
y+1 |
1010 |
1111 |
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f(x,y) = |
x-1 |
0110 |
0001 |
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| f(x,y) = |
y-1 |
0001 |
1111 |
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f(x,y) = |
x+y |
0010 |
0101 |
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no = |
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| f(x,y) = |
x-y |
0111 |
0010 |
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f(x,y) = |
y-x |
1101 |
1111 |
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| f(x,y) = |
x&y |
1011 |
1000 |
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f(x,y) = |
x|y |
1111 |
1010 |
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