A Boolean function Fixy.z) represented in standard SOP form F- xy + xy+ yz can also be reprented as F. O a Emom1.m2.m5.mó.m7) Ob. Em0m2.m7) Oc TIMOMIM3M4M5,M6) d. 1 (M2.M3,M4) CLEAR MY CHOICE
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- 2. Simplify the following Boolean expressions, using three variable K-maps: (a) F(x,y,z) = xy+x′y′z′+x′yz′ (b) F(x,y,z) = x′y′+yz+x′yz′ (c) F(x,y,z) = x′y+yz′+y′z′Implement boolean function f(A, B, C, D) =( 0,2,5,8,10, 14) B part :(A, B, C, D) =(2, 6,11)Given a boolean expression consisting of the symbols 0 (false), 1 (true), & (AND), I (OR), and /\ (XOR), and a desired boolean result value result, implement a function to count the number of ways of parenthesizing the expression such that it evaluates to result. The expression should be fully parenthesized (e.g., ( 0) A( 1)) but not extraneously (e.g., ( ( ( 0)) /\ ( 1)) ). EXAMPLE countEval("l/\01011", false) -> 2 countEval("0&0&0&1All0", true)-> 10
- Simplify the following Boolean functions. F(w, x, y, z) = !w!xz + w!xz + !w!x!y!z + !w!xy!z + !wx!y!z + !wxy!z + wxy!z + wx!y!z + w!x!y!z + w!xy!z F(w, x, y, z) = _____answer_______ *Please do not include "F(w, x, y, z) = " in your solution. Add a single space between variables and operators.Implement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable.1. Which of the following inputs are not connected to the ground?A. I2B. I5C. I6D. More than one of the choicesE. None 2. Which of the following inputs are connected to B?A. I0B. I1C. I3D. More than one of the choicesE. None 3. Which of the following inputs are connected to +5V or Vcc?A. I3B. I4C. I7D. More than one of the choicesE. None 4. What is the output when A=1, B=0, C=1 and D=0?A. +5VB. 0VC. B’D. More than one of the choicesE. NoneImplement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable. 1. Which of the following inputs are not connected to the ground? A. I0 B. I2C. I5D. More than one of the choicesE. None2. Which of the following inputs are connected to the complement of B?A. I0B. I4C. I7D. More than one of the choicesE. None 3. Which of the following inputs are connected to +5V or Vcc?A. I0B. I4C. I6D. More than one of the choicesE. None 4. What is the output when A=1, B=0, C=0 and D=1? A. +5VB. 0VC. B'D. More than one of the choicesE. None
- For function F(a,b,c) = ∑[sum symbol] m(1,3,4,6), which one is equal to F in POS form? A ) F(a,b,c) =(a'.b'.c') + (a'.b.c')+ ( ab'c )+( abc ) B ) F(a,b,c) =(a'+b'+c').(a'+b+c') (a+b'+c')(a+b+c) C ) F(a,b,c) =(a+b+c).(a+b'+c) (a'+b+c')(a'+b'+c') D ) F(a,b,c) =(a.b.c) + (a.b.c)+ (a'bc')+(a'b'c')Let Q(x, y) denote xy< 0 The domain of x is {1,2,3} and the domain of y is {0, -1, -2, -3). Implement the code that outputs the truth values of the following quantifications: 1. ∀x ∀y Q(x, y) 2. ∀x ∃y Q(x, y) Display values of variables x and y if the quantification is true.Simplify Boolean function using K map. Variables are marked in a,b,c,d order 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 Question 37 options: ac’ + ad + bd + a’c ac’ + bd’ + a’c ac’ + bd + a’c None of above c’a + b’c’ + ab
- Describe a TM in words, which computes the following function: If the input is 1^n then the output is 1^2^n (i.e. a word containing 2^n 1’s), for other inputs the output is the empty word.For the boolean function f given in the table below, which of following gives correct canonical form in OR-AND (product of sum)? x y z f 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 Question 56 options: xyz + xyz’ + x’yz’ + x’y’z x’y’z’ + x’y’z + xy’z + xyz’ (x+y’+z) (x+y’+z’) (x’+y+z) (x’+y’+z’) (x’+y+z’) (x’+y+z) (x + y’+z’) (x+y+z) none of the aboveImplement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable.1. What is the output when A=0, B=1, C=1 and D=0?A. +5VB. 0VC. B’D. More than one of the choicesE. None 2. What is the output when A=0, B=1, C=0 and D=0?A. +5VB. 0VC. BD. More than one of the choicesE. None