Answer the following questions. assuming a 6-bit floating point format with a signed bit, 3-bit mantissa, 2-bit exponent, implied leading 1, and a bias of 2. 1. What is the smallest decimal number that can be represented? 2. What is the smallest positive decimal number that can be represented? 3. What is the maximum absolute error with a stored exponent value of 112? (remember the bias!)

Q: (a) Consider the decimal number 701. Explain and show how to write this number in binary. (b)…

A: In further steps , I have provided  all 3 answers with explanation

Q: Why is it that whenever floating-point arithmetic is performed on a binary digital computer, the…

A: Whenever the floating point arithmetic is performed on a binary digital computer then are results…

Q: . Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for…

A: To correct all single-bit errors for memory words of length 10, we can use a Hamming code with a…

Q: Show how floating-point value 12.5 would be stored using IEEE-754 single precision (be sure to…

A: IEEE-754 is a standard for representing floating-point numbers in binary format. Single-precision…

Q: If we use 5 bits to represent special symbols in a binary coding scheme, how many different symbols…

A: You have 5 bits, so there are 32 different combinations. It means that you can make 32 different…

Q: 1. Two's complement notation really shows its value in binary addition, where positive and negative…

A: This is a multipart question, we are only allowed to solve 3 subparts, please repost the remaining…

Q: . Generalize the range of values (in decimal) that can be represented in any given x number of  bits…

A: The answer is given in the below steps.

Q: Find the following differences for a signed binary representation  a 111000 -110011 (signed 6-bit…

A: ANSWER:-

Q: Convert the decimal number -14/3210 to the 32-bit IEEE 754 floating point format and express your…

A: Given, number :- ( -14/32 ) = −0.4375 in decimal since base 10, Since negative sign bit = 1 0.4375 =…

Q: Describe the difference in a signed and unsigned binary representation?

A: Difference between signed and unsigned binary numbers:

Q: Indicate whether each value could be represented by a byte, a halfword, or a word-length two's…

A: To indicate values could be represented by a byte, a halfword, or a word-length two’s complement…

Q: Given a single-precision IEEE 754 representation of a floating point number as:  0x40700000, do the…

A: IEEE 754 is a standard for specifying the arithmetic behavior of floating-point integers and…

Q: Consider a 16-bit binary floating point number representation system: + SE E EEE E m m m The first…

A: The smallest possible magnitude: Exponent = EEEEEE = 000000 Mantissa = MMMMMMMMM = 000000000 Thus…

Q: Express -1.5 in IEEE 32-bit floating-point format.

A: Representing -1.5 in IEEE 32-bit floating-point format:The general representation of 32-bit floating…