x³x²+x-1= x² +1 6. 7. x² + y² = 100 3x - y = 10 8. 2x-y + z = 6 x-3y-2z = 13 2x-3y-3z = 16 9. log 6 + x log 4 = log 4 + log (32 + 4x) 10.4cos²x - 4cos x + 1 = 0
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- 1. Compact discs record two channels (left and right) of music at a sampling frequency of ??=44.1kHz for each channel. If each sample is encoded with 16 bits, and one byte is 8 bits, how many bytes are required to store 48.1 seconds of music? 2. Consider a system that uses 8-bit ASCII codes to encode letters. How long (in microseconds) will it take to transmit the bit sequence encoding Hello-World! if we use a bit time of 4 samples per bit, and transmit samples at a rate of 1MHz? 3. The ASCII table below gives the ASCII codes for common alphanumeric characters and symbols listed from MSB to LSB. What is the bit sequence encoding the message 113? Assume that we transmit the codes of each character in sequence with the LSB first.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.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 ;
- The latest super-duper supercomputer has memory locations that are 64-bits wide. What is the largest unsigned integer that can be stored in one memory location? Suppose that we use sign-magnitude for storing negative numbers and dedicate one bit for a sign bit. What would be the largest POSITIVE integer that can be stored in a memory location.55. Suppose a digitized voice channel is made by digitizing 8 kHz bandwidth analog voice signal. It is required to sample the signal at twice the highest frequency (two samples per hertz). What is the bit rate required, if it is assumed that each sample requires 8 bits? a. 32 kbps b. 64 kbps c. 128 kbps d. 256 kbps5.1 Evaluate rdx(64,10,4) 0064 5.2 Evaluate rdx(64,8,4) 0100 5.3 Evaluate rdx(64,2,0) 1000000 5.4 Convert denary 47 into hexadecimal. 0x2f 5.5 Evaluate rdx(64,16,4) 0040 5.6 Convert z=0o1235 into rdx(z,2,12) 0b001010011101 5.7 Let a be 0o37, and let b be 0x10. Let c=a+b. Convert c into octal. In denary a=31, b=16 , c=47 i.e. c=0o57 5.8 Which of the two unsigned integers is larger? 0b11111111 or 0x101? 0x101 is larger (0b11111111 is 255; 0x101 is 257.) 5.9 With reference to slide 46 of Subject 0 available around page 53, convert M[ 536 ] into hexadecimal. 0x2a 5.10 With reference to slide 46 of Subject 0, convert M[ 536] into octal. 0o52 can you explain each one how to get answers, bold fonts are answers just need to explain step by step please.
- If you need to design a system for transmitting the output of a minicomputer to a line printer operating at a speed of 30 lines/sec over a voice grade telephone line with a bandwidth of 3 kHz. Assume that the line printer needs 16 bits of data per character and prints out 50 characters per line. What should be the minimum S/N to proceed this transmission?a) Compute the even parity bits for the data bits: 1 1 0 1 0 1 1 1 and 1 0 0 0 1 0 1 0 b) Compute the odd parity bits for the data bits: 1 1 0 1 0 1 1 1 and 1 0 0 0 1 0 1 0 c) Transform the following bit string (D) into a 3 x 8 matrix and compute the two-dimensionaleven parity EDC bits. D = 1 1 0 1 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 d) Assume that a sender transmits <D, EDC> as shown and computed in c). Next, assume that thereceiver receives D’ and EDC’ as follows:D’ = 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1; EDC’ = EDC, Does the received bit streamhave errors? If yes, how does the receiver detect or correct the errors and how many errors can bedetected or corrected?3).Let X=−123, n=8 (including 2 sign bit), then the complement of X is_______ .
- 1024 bytes X 1 kilobyte is equal toL={w∈{0,1}* | w starts with 1 and ends with 0}. Its complement L’={w∈{0,1}* | ________ } w starts with 0 and ends with 1 w has length 0 or 1 or starts with 0 or ends with 1 w starts with 1 or ends with 0 w has length 0 and 1 and starts with 1 and ends with 0Simplify and express the answer wi (x^((1)/(4))y^(-(1)/(8)))(x^((8)/(7))y^((1)/(5)))