Consider the binary BCH code with length 127 and expected distance 6 using the binary field extension F 128 with size 128. What is the length of the code, and can you guarantee a minimum distance?

How many normalized numbers are represented by the floating point system F (β, t, L, U )? Provide a formula in terms of these parameters

Suppose A = +54 and B = -3 (both in base 10).Q1: What is the lowest number of rounds theoretically to complete the integer division using the optimized division algorithm?Q2: What is the resulting number in binary representation if we use 8 bits to represent it?Q3: What is the resulting number in FP decimal representation if we use the IEEE 754 standard for single precision? (form of this result should be in sign, true exponent in binary, IEEE-754 Exponent in binary and IEEE-754 exponent in decimal (base 10 number) )

How many 14-bit strings (that is, bit strings of length 14) are there which: a. Start with the sub-string 011? 2048 b. Have weight 4 (i.e., contain exactly 4 1's) and start with the sub-string 011? 330 c. Either start with 011 or end with 01 (or both)? 6144 d. Have weight 4 and either start with 011 or end with 01 (or both)? 825

Construct a (6, 3) binary linear code with generator matrix 1 0 0 11 0 G=0 10 0 1 1 [o 0 1 1 0 1, Decode each of the received words 001001, 011000, 000110, 100001 by the following methods: a. Nearest-neighbor method. b. Parity-check matrix method. c. Coset decoding using a standard array. d. Coset decoding using the syndrome method.

Use C++ coding language and provide a code that works properly  input.txt 4 51 0 1 0 01 0 1 1 11 1 1 1 11 0 0 1 05 71 0 1 0 0 1 11 0 1 1 1 1 11 1 1 1 1 0 11 0 1 1 1 0 11 0 1 0 1 0 10

What is the number of trailing zeros in base 16 in C(1000, 500)? Explain youranswer.

Problem: You have the table below of values of telemetry from the satellite. The temperatures are encoded linearly in unsigned binary bytes as a function of time. The samples come in every five minutes starting at time = 0. The temperatures are in degC and the temperature of -50 degC corresponds to a telemetry value of 0, while a temperature of 100 degC corresponds to a telemetry value of 255. (All values are decimal unless explicitly stated otherwise.) Write down the equation that describes the temperature as a function of telemetry value in the form of T = a* TV + b. What is the value of a? What is the value of b? After your data has been downlinked, as shown in the table below, fill in the Time and Temperature columns (to one place past the decimal point for the Temperature). Sample Telemetry value Time (minutes) Temperature (degC) 1 2 3 4 5 6 7 8 9 10 11 12 13 10 12 14 17 21 41 81 181 210 220 215 222 225 0 5 10 60 -44.1 -42.9 -41.8 82.3