Using a hypothetical binary system with normalized floating point representation as studies in class that has the following bits: 1 bit for mantissa sign, 1 bit for exponent sign, 4 bits for exponent magnitude and 2 bits for mantissa magnitude. Then answer the following questions: (a) What is the smallest positive number that can be stored (b) What is the next positive number that can be stored (c) We wish to store the number 0.0682. Then what is the value that it takes if rounding is used.

solve by using name Hussnain Jaffar

Suppose the characters 0,1,...,8,9, A,B,C,D,E,F are used to represent a hex adecimal (base-16) number. Here A = 10 B =11,..., F = 15 What is the largest base-10 integer that can be represented with a two-digit hexadecimal number, such as 14 or 3A? (A) 32 (B) 225 (C) 255 (D) 256 (E) 272

In this problem we will work through a round of DES. For notational simplicity, assume it is the first round. Please enter all answers as strings of 0's and 1's. The input is the 64 bit block 0000000000000010000000000000001000000100000001000100000000000000 Suppose that the subkey for the current round is this 48 bit number: 000000000000000001000000000000000000000000000000 What does the 64 bit state look like after the IP transformation is applied to the input? 00000000000110000100000000000000 Now find Lo and Ro, the left and right halves of the state. Lo 01000000010000000000000000010000 = Ro=00000000000000100000000000000000 What is the result of applying the expansion box to R₁? E(Ro) = 00000000000000100000000000000000 What is the result of XORing the subkey with E(Ro)? k₁ E(Ro) = 00000000000000100000000000000000 We now apply the S-box transformation. S(k₁ E(Ro)) = 11011000110110001101111110111100 Finally we apply the permutation box to complete the function f. f(Ro) = P(S(k₁ + E(Ro)))…

The binary string 11001111101001 is a floating-point number expressed using the 14-bit simple model given in your text. What is its decimal equivalent? Note: in the 14-bit simple model, the left-most bit is the sign, followed by 5 bits for the exponent, followed by 8 bits for the mantissa (There are no implied bits). The exponent is in Excess 15 notation.

HAS TO BE SOLVED BY USING MICROSHIP STUDIO with the ATmega2560 device

Answer with explanation

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) )

Answer the given question with a proper explanation and step-by-step solution.  Consider a Hamming (7.4) code in which the parity bits are calculated according to the following equations: r0 = a0 + a1 + a2 r1 = a1 + a2 + a3 r2 = a0 + a1 + a3 The following dataword is to be coded with this scheme: format: a3 a2 a1 a0 0010 What is the parity code for the above dataword? Show it in decimal format for (r2,r1,r0); e.g. if the resulting bits are r2=1, r1=0, r0=0 (100), type the decimal equivalent of 100, which is 4.

Suppose that we use the floating-point format with 12 decimal digits, SEEEMMMMMMMM, to rep- resent a real number, where S is the digit to represent the sign of the mantissa (use 0 for pos- itive and 5 for negative), EEE are the 3 digits to represent the exponent in excess-500 format, MMMMMMMM are the 8 digits to represent the magnitude of the mantissa, and the decimal point of the mantissa is right to the left of MMMMMMMM (i.e., SEEEMMMMMMMM representing the real number +0.MMMMMMMM × 10EEE-500) What are the smallest positive number and the largest positive number that can be represented in this format? Write them in exponential notation.