A logic circuit realizing the function f has four inputs A, B,
C, and D. The three inputs
A, B, and C are the binary representation of the digits 0 through 7
with A being the
most-significant bit. The input D is an odd-parity bit, i.e., the
value of D is such that A, B, C, and D always contain an odd number
of 1’s. (For example, the digit 1 is represented
by ABC = 001 and D = 0, and the digit 3 is represented by ABCD =
0111.)
The function f has value 1 if the input digit is an odd number and
value 0 if the input digit is an even number.'
(a) List the minterms and don’t-care minterms of f in algebraic
form.
(b) List the maxterms and don’t-care maxterms of f in algebraic
form.
A logic circuit realizing the function f has four inputs A, B, C, and D. The...
A digital logic circuit realizing the function F that has four inputs A, B, C, and D. It only accepts inputs in the format: the three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the MSB and C being the LSB, and the input D has to be an odd-parity bit (i.e., the value of D is such that the number of l’s in the 4 inputs A, B, C,...
roblem 4. (25 pts)A circuit with four inputs, (A, B, C, D), and four outputs (F, G, H, I) is described by the table below. For this circuit Para este circuito a. (10 pts) Express G as a sum of minterms b. (10 pts) Express F as a product of maxterms c. (5 pts) Realize G using just NAND's, and F using only NOR's. BCD/IF G H I 0 1 0 1 1 0 0 1 1 1 1 01...
Problem 4. (25 pts)A circuit with four inputs, (A, B, C, D), and four outputs (F, G, H, I) is described by the table below. For this circuit Para este circuito a. (10 pts) Express G as a sum of minterms (10 pts) Express F as a product of maxterms c. (5 pts) Realize G using just NAND's, and F using only NOR's. A B C DF G HI 0 1 0 1 1 0 0 1 0 1 1...
The following logic function is given as a sum of minterms F(A,B,C,D) = Σ A,B,C,D(0,1,4,5,9,11,13,15) A) Find out SOP for the function. B) List all the input pair(s) where we can observe a timing hazard from the K-map. C) Draw the timing hazard diagram for one of the input pair. Assume ALL gate delays are equal. Identify the timing hazard from the diagram. D) Write the expression of an equivalent logic function in which the timing hazard(s) is/are eliminated.
2. Design a combinational circuit that has 4 inputs A, B, C, D, and one output F. The function F- 1 if and only if two or more of the input variables are 1. a. Find the function F as a simplified algebraic expression. b. Draw the logic diagram for F
digital Logic For the Booelan function F together with the don't-care conditions d. Perform the following: a. Optimize the expression in Sum-of-Products form. (10 points) K.maps b. Implement the Sum-of-Products form using logic gates. (5 points) c. Determine the Inverse function F. (5 points) F(ABCD) m(2,3,8,10) d(ABCD) m(0, 6,7,13)
Question 2 (10 Marks): If F(A,B,C,D)=|M(3,4,5,6,8,9,10,12,13,14), a) Express F in minimum SOP and minimum POS. b) Express F in minterms and maxterms. c) Express F in standard form of POS. d) Show that F =(A+B)O(CD).
computer architecture The sum of the two 32 bit integers may not be representable in 32 bits. In this case, we say that an overflow has occurred. Write MIPS instructions that adds two numbers stored in registers Ss1 and Ss2, stores the sum in register $s3, and sets register Sto to 1 if an overflow occurs and to 0 otherwise. 5. (16pts) 6. Show the IEEE 754 binary representation of the number -7.425 in a single and double 7. If...
3) Assume that a logic function F(A, B, C, D) to set the home security system has inputs defined as: A 1 iff John is home; B - 1 iff Jane is home; C1 iff John is sleeping; and D 1 ifJane is sleeping. F should be 1 if neither John nor Jane is home, or one is home and sleeping while the other is not home, or both are home and sleeping. Prepare a truth table for F and...
Q2 (20pts) Design a combinational ct that accepts an input 3-bit binary number (XYZ) and generates an output 4-bit binary number (ABCD) where output equal to the double of the input number. (a) Construct the truth table (b) State each output-bit as a function in sum of minterms (SOM) form: (c) State each output-bit as a function in product of maxterms (POM) form: ΠΜ(.) (d) Optimize the circuit using K-maps and find the simplified functions Show your work full-credit. Q3...