6. Convert .3710 to a binary fraction of 10 binary digits. 7. Use two's compliment arithmetic to perform the following 8 bit binary operations. a. 0010 1110 + 0001 1011 b. 0101 1101 – 0011 1010 c....
6. Convert .3710 to a binary fraction of 10 binary digits.
7. Use two's compliment arithmetic to perform the following 8 bit binary operations. a. 0010 1110 + 0001 1011 b. 0101 1101 – 0011 1010 c. 1011 1000 – 1000 1011 d. 1000 1100 – 1111 0111
8. Convert 150.8476562510 to IEEE Floating Point Standard.
9. Simplify the following Boolean expressions. a. xy + xy + xz b. (w + x)(x + y)(w + x + y + z) + x + y + w (Hint: This should evaluate to True.) c. w x y z + w x y z + w x y z (Hint: You answer should involve xor) d. a b c d + a b c d + a b c d + a b c d
10. Consider the following truth table. Construct a Karnaugh map for this truth table. Using the map, develop a simplified Boolean expression for the given table. Using Logic Circuit, build a circuit that implements the simplified Boolean expression. For marking purposes print your circuit and the Logic Circuit truth table. (Of course, the Logic Circuit truth table should match the truth table below.)
Homework Answers
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6. Convert .3710 to a binary fraction of 10 binary digits. 7. Use two's compliment arithmetic to perform the following 8 bit binary operations. a. 0010 1110 + 0001 1011 b. 0101 1101 – 0011 1010 c....
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary,...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
#1,2,7,9 Fall 2019 Test 2 Practice Problems EE210 m(1.6.7). Use a K-map to simplify the Show...
#1,2,7,9
Fall 2019 Test 2 Practice Problems EE210 m(1.6.7). Use a K-map to simplify the Show a truth table for the function F(w, x, y)= function. Find a minimal AND-OR realization 2. Using a 3.variable Karnaugh map, find a minimum SOP reduction for F(A,B,C) - m(0,1,5,7). Using a 4-variable Kamaugh map, find a minimum SOP reduction for F(A.B.C.D) - Ym(1.5.7.11.13.15) Using a 4-variable Karnaugh map, find a minimum SOP reduction for F(A,B,C,D) - Sm(1.5.7,11,13,15) + d(2,3) Study Guide, Unit 5....
Computer Science: Computer Architecture 3. Do the following problems: Consider a circuit with 4 binary inputs....
Computer Science: Computer Architecture 3. Do the following problems: Consider a circuit with 4 binary inputs. It counts the number of 1’s on its input and expresses (encodes or represents) the count as binary values on 2 output lines. a. Draw a truth table to represent the functions of the circuit. b. Provide SOP expressions for the output lines. c. Simplify the SOP expressions. d. Implement the circuit using 2-input NAND gates. 4. do the fowolling problems: a. Verify: xyz...
(a) Write a truth table. The input is 4-bit binary ABCD, A is MSB, D is...
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x,...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Click Submit to complete this assessment Questions 10 points Design a digital circuit that reorders the...
Click Submit to complete this assessment Questions 10 points Design a digital circuit that reorders the bits of a 4-bit binary number as follows: If the number is even, bits by bb bby become b, bobby. For example, 0110 becomes 1001 If the number is odd, bits bybb, b, bbecome bybob. For example, 1001 becomes 0110 Solve the following on paper, and then fill in the blanks below: NOTE: In parts 3 and 4, there is no need to draw...
Digital Logic Fundamentals. Need help with this assignment!!! Want to make sure I'm on the right ...
Digital Logic Fundamentals. Need help with this
assignment!!!
Want to make sure I'm on the right track with the truth table
and K-MAPS.
Also I'd like to know how to design the LOGISIM circuit.
Thank you.
igital Logic Fundamentals An Excess-3 code exists for the following reason: The primary advantage of excess-3 coding over non-biased coding is that a decimal number can be nines' complemented (for subtraction) as easily as a binary number can be ones' complemented: just by inverting...
NYIT. Digital Logic Fundamentals, Dr. S. Ben-Avi. Spring 2019. An Excess-3 code exists for the fo...
I
NEED THE LOGISIM CIRCUIT DESIGN!
NYIT. Digital Logic Fundamentals, Dr. S. Ben-Avi. Spring 2019. An Excess-3 code exists for the following reason: The primary advantage of excess-3 coding over non-biased co ding is that a decimal number can be nines' complemented (for subtraction) as easily as a binary number can be ones' complemented: just by inverting all bits it's useful We shall be discussing complement systems again later in the course - just know that this o Design logic...
CASE II AziTech is considering the design of a new CPU for its new model of...
CASE II AziTech is considering the design of a new CPU for its new model of computer systems for 2021. It is considering choosing between two (2) CPU (CPUA and CPUB) implementations based on their performance. Both CPU are expected to have the same instruction set architecture. CPUA has a clock cycle time of 60 ns and CPUB has a clock cycle time of 75 ns. The same number of a particular instruction type is expected to be executed on...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
#1,2,7,9
Fall 2019 Test 2 Practice Problems EE210 m(1.6.7). Use a K-map to simplify the Show a truth table for the function F(w, x, y)= function. Find a minimal AND-OR realization 2. Using a 3.variable Karnaugh map, find a minimum SOP reduction for F(A,B,C) - m(0,1,5,7). Using a 4-variable Kamaugh map, find a minimum SOP reduction for F(A.B.C.D) - Ym(1.5.7.11.13.15) Using a 4-variable Karnaugh map, find a minimum SOP reduction for F(A,B,C,D) - Sm(1.5.7,11,13,15) + d(2,3) Study Guide, Unit 5....
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Click Submit to complete this assessment Questions 10 points Design a digital circuit that reorders the bits of a 4-bit binary number as follows: If the number is even, bits by bb bby become b, bobby. For example, 0110 becomes 1001 If the number is odd, bits bybb, b, bbecome bybob. For example, 1001 becomes 0110 Solve the following on paper, and then fill in the blanks below: NOTE: In parts 3 and 4, there is no need to draw...
Digital Logic Fundamentals. Need help with this
assignment!!!
Want to make sure I'm on the right track with the truth table
and K-MAPS.
Also I'd like to know how to design the LOGISIM circuit.
Thank you.
igital Logic Fundamentals An Excess-3 code exists for the following reason: The primary advantage of excess-3 coding over non-biased coding is that a decimal number can be nines' complemented (for subtraction) as easily as a binary number can be ones' complemented: just by inverting...
I
NEED THE LOGISIM CIRCUIT DESIGN!
NYIT. Digital Logic Fundamentals, Dr. S. Ben-Avi. Spring 2019. An Excess-3 code exists for the following reason: The primary advantage of excess-3 coding over non-biased co ding is that a decimal number can be nines' complemented (for subtraction) as easily as a binary number can be ones' complemented: just by inverting all bits it's useful We shall be discussing complement systems again later in the course - just know that this o Design logic...
CASE II AziTech is considering the design of a new CPU for its new model of computer systems for 2021. It is considering choosing between two (2) CPU (CPUA and CPUB) implementations based on their performance. Both CPU are expected to have the same instruction set architecture. CPUA has a clock cycle time of 60 ns and CPUB has a clock cycle time of 75 ns. The same number of a particular instruction type is expected to be executed on...
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