ABCF 0000 001|1 0 10 1 0 1 10 10 01 101|1 1 1 0 0 1 1| 1 The canonical SOP for the above truth table is O a. F = I (1,2,4,5,7) O b. F = I (0,3,6) O c. F = 1 (1,2,4,5,7) O d. F = ] (1,2,4)
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- If A = 10101010, B = 01010101, and C = 00110011, then find X = A ∨ B ∧ ￢CB. Given "010111" a 6-bit input to DES S-boxes S4, S5, and S6, determine the output of each of these S-boxes as a 4-bit binary. C. Given the following LFSR of degree 4, determine the output generated in the first 7 clocks (clocks 0-6). FF3-FF0 are initialized as follows: FF3=0, FF2=0, FF1=1, FF0=1.41 + x| |11+x 30| | | |x 11 15 15| |5 6| |3 3| |2 1 b. Write the interval that shows the possible values for the frequency of the character x ? Explain how you reached this result.
- Consider a telegraph source having two symbols, dot and dash. The dot duration is 0.2 second. The dash duration is three times the dot duration. The probability of the dot’s occurring is twice that of the dash, and the time between symbols is 0.2 second. Assume n = 2 ( 2nd extension of the code), pdash = S0 and pdot = S11. Determine the equivalent codeword for each symbol using Shannon Code. Supersymbol Code S0 S0 S0 S1 S1 S0 S1 S1 2. Determine the coding efficiency.Explaine the effect of each bit of code:(A) x = x | (1 << 19);(B) x = x | (0b110101 << 8);(C) x = x & ~(1 << 8);(D) if( x & (1 << 13) ){ ... }The opposite of (x >4 && x < 11) is (x < 4 && x > 11). True False
- Consider a code with only four valid codewords: 0000000000,0000011111,11111100000,11111111111. a)what is the hamming distance in this given code? b)prove your answer (a)? c)what is the lower limit on the check bits for this code to correct single errors?Express the following in canonical forms , simplify using KMAP and make a truth table of the simplified expression: 1. F(x, y, z) = π (0, 2, 5, 7) 2. F(A, B, C, D) = ∑ (0, 1,2,5,8,9, 10) 3. F(w, x, y, z) = Σ (I, 3, 7,11,15) + d(w, x, y, z) = Σ (0, 2, 5) 4. F(A, B, C, D, E) = Σ(0, 1,4,5,16,17,21,25,29) Note: Pls. show groupings and highlight if possible.A1 Alice sends Bob a message of 1000 bits using for all the bits the same polarization states |θ> = cos θ|0> + sin θ|1> and |θ*> = sin θ|0> − cos θ|1> of 1000 individual photons. Eve tries to intercept the message, but doesn’t know the angle θ chosen by Alice and Bob. In the absence of a better method, Eve simply guesses the angle, which happens to be θ + π/8 . How many bits of the message will Eve be able to read correctly on average?
- Using the CRC polynomial 1101, compute the CRC code word for the information word, 1011101. Check the division performed at the receiver. You must show modulo 2 division at the receiver to receive full points. Show work 1011101001 1011101100 1011101110 1011101101Convert the following to Fahrenheit 1) 10o C ________ 2) 30o C ________ 3) 40o C ________ 4) 37o C ________ 5) 0o C ________ Convert the following to Celsius 6) 32o F ________ 7) 45o F ________ 8) 70o F ________ 9) 80o F ________ 10) 90o F ________ 11) 212o F ________ Convert the following to Kelvin 12) 0o C ________ 13) -50o C ________ 14) 90o C ________ 15) -20o C ________ Convert the following to Celsius 16) 100o K ________ 17) 200o K ________ 18) 273o K ________Assuming that XTAL = 11.0592 MHz. a) Find the frequency of the square wave generated on pin P2.3 in the following program b) Find the smallest frequency achievable in this program, and the TH value to do that MOV TMOD, #20H ; MOV TH1, #5; SETB TR1;BACK: JNB TF1 ,BACK ; CPL P2.3 ; CLR TF1 ; SJMP BACK ;