EEL-3705 TPS QUIZZES: EEL-3705 TPS QUIZZES Chapter 4
Quiz 4-1: Quiz 4-1
Using the 2x4 Decoder shown below and two-input OR gates, design a logic circuit which implements: Using the 2x4 Decoder shown below and two-input OR gates, design a logic circuit which implements
Solution: Solution
Quiz 4-2: Quiz 4-2
Using the 3x8 Decoder shown below and two-input OR gates, design a logic circuit which implements: Using the 3x8 Decoder shown below and two-input OR gates, design a logic circuit which implements
Solution: Solution
Solution: Solution
Quiz 4-3: Quiz 4-3
Using the 3x8 Decoder shown below and two-input OR gates, design a logic circuit which implements: Using the 3x8 Decoder shown below and two-input OR gates, design a logic circuit which implements
Solution: Solution
Quiz 4-4a: Quiz 4-4a
Using 3x8 Decoders with Active LOW Enables and NOT gates, design a logic circuit which implements a 4x16 decoder: Using 3x8 Decoders with Active LOW Enables and NOT gates, design a logic circuit which implements a 4x16 decoder
Solution: Solution
Quiz 4-4b: Quiz 4-4b
Using standard two-input and three-input logic gates, design an encoder circuit that implements the following truth table: Using standard two-input and three-input logic gates, design an encoder circuit that implements the following truth table
Solution: Solution 1 1 1 1
Y1: Y1
Solution: Solution 1 1 1 1
Y0: Y0
Quiz 4-5: Quiz 4-5
Using standard two-input logic gates, design a 2X1 MUX which implements: Using standard two-input logic gates, design a 2X1 MUX which implements Your circuit should have three inputs, Data inputs D0 and D1, and control input S. Hint: Develop the truth table first
Solution: Solution
Solution: Solution
Demonstrations: Demonstrations
1 bit deep 2x1 MUX: 1 bit deep 2x1 MUX 2 Logical Data Inputs 1 bit deep
1 Control Input
1 Logical Output 1 bit deep
1 bit deep 4x1 MUX: 1 bit deep 4x1 MUX 4 Logical Data Inputs 1 bit deep
2 Control Inputs
1 Logical Output 1 bit deep
2 bits deep 2x1 MUX: 2 bits deep 2x1 MUX 2 Logical Data Inputs 2 bits deep
1 Control Input
1 Logical Output 2 bits deep
2 bits deep 4x1 MUX: 2 bits deep 4x1 MUX 4 Logical Data Inputs 2 bits deep
2 Control Inputs
1 Logical Output 2 bits deep
4 bits deep 2x1 MUX: 4 bits deep 2x1 MUX 2 Logical Data Inputs 4 bits deep
1 Control Input
1 Logical Output 4 bits deep
Quiz 4-6: Quiz 4-6
Using the 2X1 MUX shown below and NOT gates, design a logic circuit which implements:: Using the 2X1 MUX shown below and NOT gates, design a logic circuit which implements:
Solution: Solution We need We have Let a=s, D0=b, D1=b
Quiz 4-7: Quiz 4-7
Using standard two-input logic gates, design a 2X1 MUX with Enable which implements: Using standard two-input logic gates, design a 2X1 MUX with Enable which implements Your circuit should have four inputs, Data inputs D0 and D1, and control inputs E and S.
Solution: Solution
Solution: Solution
Quiz 4-8: Quiz 4-8
Design a 4x1 MUX using the 2x1 MUX with enable shown below, NOT, and OR gates: Design a 4x1 MUX using the 2x1 MUX with enable shown below, NOT, and OR gates Your design should implement this equation
Solution: Solution
Quiz 4-9: Quiz 4-9
Using the 4x1 MUX shown below and NOT gates, design a logic circuit which implements: Using the 4x1 MUX shown below and NOT gates, design a logic circuit which implements
Solution: Solution
Quiz 4-10: Quiz 4-10
Using the 4x1 MUX shown below and NOT gates, design a logic circuit which implements: Using the 4x1 MUX shown below and NOT gates, design a logic circuit which implements
Solution: Solution c c c c a b F
Class Design Project: Class Design Project
Quiz 4-11: Quiz 4-11 Module A
Design a logic circuit (let’s call this module A) which converts a three bit signed magnitude input into its equivalent three bit two’s complement output. Let X2=0 indicate a positive number and X2=1 indicate a negative number. X1 and X0 represent the magnitude of the number. For example : Design a logic circuit (let’s call this module A) which converts a three bit signed magnitude input into its equivalent three bit two’s complement output. Let X2=0 indicate a positive number and X2=1 indicate a negative number. X1 and X0 represent the magnitude of the number. For example Hint: Really this is a hint !!!, Develop the truth table
for all possible input combinations INPUT: X[2..0] OUTPUT: A[2..0] Module A
Solution: Solution
Solution: Solution
Solution: Solution 1 1 1 1
Quiz 4-12: Quiz 4-12 Module B
Design a logic circuit (let’s call this module B) which computes where A is a three bit two’s complement input with a domain of -3 to 3. : Design a logic circuit (let’s call this module B) which computes where A is a three bit two’s complement input with a domain of -3 to 3. Hint: This is really another hint!!!, Precompute B in decimal for each possible A and develop a truth table relating B to A in binary. Assume don’t care for B when |A| > 3. How many bits are you going to need for B? INPUT: A[2..0] OUTPUT: B[??..0] Module B
Solution: Solution
Solution: Solution
Solution: Solution 1 1 1 1
Quiz 4-13: Quiz 4-13 Module C
Using Half Adders and NOT gates, design a logic circuit which will compute the 2’s comp of a 4-bit signed binary number: Using Half Adders and NOT gates, design a logic circuit which will compute the 2’s comp of a 4-bit signed binary number INPUT: B[3..0] OUTPUT: C[3..0] Module C Hint: Calculate the 1’s complement and add 1.
Solution: Solution
Quiz 4-14: Quiz 4-14 Module D
Using Module C (i.e. 2’s comp module) and the 4-bit wide 2X1 MUX shown below, design a logic circuit which will calculate the sign magnitude of a 4-bit 2’s complement number. You may assume maximum magnitude is 7. Your design should also have an output labeled sign which is sign=1 for negative values. : Using Module C (i.e. 2’s comp module) and the 4-bit wide 2X1 MUX shown below, design a logic circuit which will calculate the sign magnitude of a 4-bit 2’s complement number. You may assume maximum magnitude is 7. Your design should also have an output labeled sign which is sign=1 for negative values. INPUT: B[3..0] OUTPUT: D[2..0] Sign Module D
Solution: Solution
Quiz 4-15: Quiz 4-15 Class Design Project
We have the design for four modules: A: 4-bit Sign Magnitude to 2’s complement B: y=2x-1 for |X|<4 C: 4-bit 2’s complement generator D: 4-bit 2’s complement to Sign Magnitude: We have the design for four modules: A: 4-bit Sign Magnitude to 2’s complement B: y=2x-1 for |X|<4 C: 4-bit 2’s complement generator D: 4-bit 2’s complement to Sign Magnitude Team with two other groups.
One group (X) should implement module A
One group (Y) should implement module B
One group (Z) should implement module C,D
Pick your groups and decide who is X,Y, and Z.
Slide66: I will give a series of inputs to Group X, who should compute A =A[2..0] and give it to group Y, who then needs to compute B=B[3..0] and give it to group Z who then needs to compute D=D[2..0] and Sign. Group D should convert the result to decimal using a minus sign to represent a negative number and record it on the board. Use the index card to pass data from one module to the next.
Block Diagram: Block Diagram A B C/D X[2..0] A[2..0] B[3..0] D[2..0] Record
Results
On Board From
Dr. Perry Sign
X=000: X=000 1
X=100: X=100 2
X=001: X=001 3
X=101: X=101 4
X=011: X=011 5
X=111: X=111 6
Quiz 4-16: Quiz 4-16
Let tgate=15ns, calculate the worst case delay for a 32-bit adder for the three circuits below. : Let tgate=15ns, calculate the worst case delay for a 32-bit adder for the three circuits below.
Let tgate=15ns, calculate the worst case delay for a 32-bit adder.: Let tgate=15ns, calculate the worst case delay for a 32-bit adder.
Quiz 4-17: Quiz 4-17
Given the 4-bit add/sub module shown below, let A=$D, B=$F, ADD=0, what is S in ADDER module in hex and decimal?: Given the 4-bit add/sub module shown below, let A=$D, B=$F, ADD=0, what is S in ADDER module in hex and decimal?
Given the 4-bit add/sub module shown below, let A=$D, B=$F, , what is S?: Given the 4-bit add/sub module shown below, let A=$D, B=$F, , what is S? $D+$F=$C
-3+(-1)=-4
Quiz 4-18: Quiz 4-18
Given the 4-bit add/sub module shown below, let A=$D, B=$F, ADD=1, what is S in hex and decimal?: Given the 4-bit add/sub module shown below, let A=$D, B=$F, ADD=1, what is S in hex and decimal?
Given the 4-bit add/sub module shown below, let A=$D, B=$F, ADD=1, what is S?: Given the 4-bit add/sub module shown below, let A=$D, B=$F, ADD=1, what is S? $D-$F=$E
-3-(-1)=-2
Quiz 4-19: Quiz 4-19
Overflow/Underflow Detection: Overflow/Underflow Detection Recall
That is, if for the MSB carry_in is not equal to carry_out, overflow or underflow has occurred.
Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer.: Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer. 1. $D+$4
2. $6 +$4
3. $7 + $A
4. $F + $F
5. $8 + $F
Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer.: Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer. 1. $D+$4 = $1 (OK)
2. $6 +$4 = $A (O)
3. $7 + $A = $1 (OK)
4. $F + $F = $E (OK)
5. $8 + $F = $7 (U)
Quiz 4-20: Quiz 4-20
Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer.: Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer. 1. $D-$7
2. $6 -$4
3. $7 - $A
4. $F - $F
5. $8 - $1
Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer.: Given a 4-bit adder, indicate whether each operation below gives an overflow(O), underflow(U), or correct (OK) answer. 1. $D-$7=$6 (U)
2. $6 -$4 = $2 (OK)
3. $7 - $A = $D (O)
4. $F - $F = $0 (OK)
5. $8 - $1 =$7 (U)
Quiz 4-21: Quiz 4-21
Develop the truth table for a 2 bit signed comparator?: Develop the truth table for a 2 bit signed comparator? Your truth table should have four inputs
b1 b0 a1 a0 and three outputs
F1= (A B)
F3 = (A = B)
Assume 2-bit signed (i.e. 2’s comp) values
Hint: convert to decimal and compare
Solution: Solution
Solution: Solution
Quiz 4-22: Quiz 4-22
Let A=$C and B=$7 and S[1..0]=00, what is F in hex?: Let A=$C and B=$7 and S[1..0]=00, what is F in hex? F[3..0]
Let A=$C and B=$7 and S[1..0]=00, what is F?: Let A=$C and B=$7 and S[1..0]=00, what is F? F[3..0] AND Operation
F=$04
Quiz 4-23: Quiz 4-23
Let A=$C and B=$7 and S[1..0]=10, what is F in hex?: Let A=$C and B=$7 and S[1..0]=10, what is F in hex? F[3..0]
Let A=$C and B=$7 and S[1..0]=10, what is F?: Let A=$C and B=$7 and S[1..0]=10, what is F? F[3..0] NOT A Operation
F=$03
Quiz 4-24: Quiz 4-24
Let A=$C and B=$7 and S[1..0]=11, what is F hex?: Let A=$C and B=$7 and S[1..0]=11, what is F hex? F[3..0]
Let A=$C and B=$7 and S[1..0]=10, what is F?: Let A=$C and B=$7 and S[1..0]=10, what is F? F[3..0] XOR Operation
F=$0B
Quiz 4-25: Quiz 4-25
Let A=$3 and B=$4, S[1..0]=00, What is F in hex?: Let A=$3 and B=$4, S[1..0]=00, What is F in hex?
Let A=$3 and B=$4, S[1..0]=00, What is F in hex?: Let A=$3 and B=$4, S[1..0]=00, What is F in hex? F=A+B
F=$07 0 0
Quiz 4-26: Quiz 4-26
Let A=$3 and B=$4, S[1..0]=10, What is F in hex?: Let A=$3 and B=$4, S[1..0]=10, What is F in hex?
Let A=$3 and B=$4, S[1..0]=10, What is F in hex?: Let A=$3 and B=$4, S[1..0]=10, What is F in hex? F=A+1
F=$04 0 0