Original Examples for Each of the Following: Conversion from Two’s Complement Conversion to Two’s Complement Arithmetic with Two’s Complement
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2 Original Examples for Each of the Following:
- Conversion from Two’s Complement
- Conversion to Two’s Complement
- Arithmetic with Two’s Complement
There should be a total of 6 original examples that shows your work
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- Answer the given question with a proper explanation and step-by-step solution. Find the doubleword-length 2's complement hex representation of the following decimal number: -934 Notes: When writing the hex value using this representation, you should always write pairs of digits with spaces between them. For example, if the value is 3F2E44DA2C, then it should be written as 3F 2E 44 DA 2C. Make sure your answer is the correct size. If it is not written in the correct size, it is wrong! Hexadecimal:WRITE QUADRUPLE REPRESENTATION FOR a + a * (b- c) + (b-c)* d1. Convert infix to postfix ((A+B)*(C-D)+E)/(F+G) (A+B/C*(D+E)-F) A+(B*C-(D/E-F)*G}*H
- Number Bases taught in SHS1 has always been an area of difficulty for most student because the concepts and skills are taught in abstract. Show how you will use bottle tops to teach your students to convert 27 to a binary numeral.Write the symbol used in the following language of mathematics: 1. The complement of the complement of A 2. The set of rational numbers 3. The Cartesian product of B and C 4. 3 is an integer 5. The value of y ranges from -4 to 5 6. The square of a number is positive 7. J belongs to both sets A and B 8. Point A's distance from D is equal to point B's distance from DThe Famous Gauss You must know about Gauss, the famous mathematician. Back in late 1700’s, he was at elementary school. Gauss was asked to find the sum of the numbers from 1 to 100. The question was assigned as “busy work” by the teacher. He amazed his teacher with how quickly he found the sum of the integers from 1 to 100 to be 5050. Gauss recognized he had fifty pairs of numbers when he added the first and last number in the series, the second and second-last number in the series, and so on. For example:(1 + 100), (2 + 99), (3 + 98), ..., (50 + 51). Each pair has a sum of 101 and there are 50 pairs. History repeats itself. Jojo’s teacher assign a “busy work” to the students. The teacher believes that there will be no shortcut to finish this task in a minute. The teacher gives N integers A1, A2, ..., AN to the students. The teacher also gives Q questions. Each question contains two integers L and R asking the sum of all Ai where L <= Ai <= R. As a good friend of Jojo, help Jojo…
- Consider a 16-bit binary floating point number representation system: + | SE E E E E E m m т m m m m m m The first bit of the exponent is dedicated to its sign. Assume that the mantissa must start with a '1'. Use this system to answer the following question What is the smallest (magnitude) number that can be represented with this system?Simplify B (x, y, z) = X’Z+X’Y+YZ1. Briefly explain the following representations: Sign magnitude Twos complement Biased 2. Briefly explain the drawbacks of sign-magnitude 3. Explain how to determine if a number is negative in the following representations: Sign magnitude Twos complement Biased 4. How can you form the negation of an integer in two's complement representation?
- (a) The infix representation is P /(Q + R) ∗ X − Y(b) The postfix representation is X Y Z P QR ∗ +/ − ∗(c) The prefix representation is + ∗ −M N P /RSQ6: Convert the following CFGS to be in Chomsky Normal Form, and write and explain all the steps that you do. 1. S- ASA | aB A -B|S B→ b|ɛ 2. S- AbA A - Aa |ɛFind the representation x of the following signed numbers listed below in the base specified on the right. a.- (01100110)2=( x )10 b.- (10110111)2=( x )10 C.- (207)10=( x )2 d.- (-135)10=(× )2 e.- (2D7)16=( x )2 f.- (10110011)2=(x )16 g.- (-5.5)10=( x )2 e.- (11000001010000000000000000001010)2=(x )10 Note: In part e the binary representation on the left corresponds to a real number representation.
