Explain in detail why we prefer using the binary number systems in computers instead of the decimal number system?
Q: Why was an alphanumeric number system referred to as a hexadecimal number system?
A: Introduction It is known as hexadecimal to refer to the numeral system that has a base of 16. As a…
Q: Question 1 The numbers given belong to binary number system calculate (a) decimal weightage of these…
A: Note: The solutions of the first question(a) with all three subparts are shown below. Please repost…
Q: n binary, hexadecimal and octal numbers would best be used? Why, do we have to have different number…
A: Binary :: Computers use double documentation at their most negligible level. Thusly a piece…
Q: If a computer can only store 5 digits in binary system what will be the machine precision number?…
A: if a computer can only store 5 digits in binary system the machine precision in decimal be
Q: Why is it that when floating-point arithmetic is done by a binary digital computer, there is always…
A: Floating-point arithmetic: The technique of adding two decimal values stated in scientific notation…
Q: What is the largest binary number that can be expressed with: (a). 8 bits and 10 bits and 16 bits,…
A: Actually, binary numbers are nothing but a 0,s and 1's. 1 byte= 8 bits.
Q: Why is it that when a binary digital computer does floating-point arithmetic, the output always…
A: INTRODUCTION: Arithmetic in floating points: The addition of two decimal values written in…
Q: Explain the distinctions between the four ways signed integers can be represented in digital…
A: Representation of signed integers The signed integers are the combination of positive and negative…
Q: For IEEE 754 single-precision floating point, what is the number, as written in binary scientific…
A: Since the answer is complex we include the solution to only the first part (a) Step 1: convert from…
Q: Why are Ordinary Numbers Unsuitable for Computers ? Why is it important to be able to have negative…
A: Ordinary Numbers are decimal numbers that are easy for human understanding. Binary numbers are base…
Q: (4) The following two binary numbers are represented by IEEE 754 single floating point number.…
A: IEEE 754 format 32 - bit representation: sign IEEE Exponent Fraction 1-bit 8-bits…
Q: Why are binary and decimal called positional numbering systems?
A: Binary number system: The binary number system contains two unique digits such as 0’s and 1’s. The…
Q: a. Represent the decimal numbers -3.5 and 12.5 in IEEE 754 single precision floating-point format.…
A: a) In 32 bit (single precision) IEEE-754IEEE-754 format, binary number is…
Q: Using 2-complement arithmetic, what 32-bit number can be added to this floating point number to…
A: According to IEEE 754 First bit is the sign bit as the sign bit is 0 (leftmost bit) thus the…
Q: The 0 and 1 in the binary numbering system are called binary digits or bits explain?
A: 0 and 1 are known as binary digit or bits is detailed in step 2.
Q: The accuracy of the floating point numbers representable in two 16 bit words of a computer is…
A: Ans:- The accuracy is 6 digits. Here, the total number of bits is 32 and according to IEEE754…
Q: if a computer can only store 5 digits in binary system what will be the machine precision in decimal…
A: GIVEN: if a computer can only store 5 digits in a binary system what will be the machine precision…
Q: What is the function of the hexadecimal system? Explain the relevance of the hexadecimal numbering…
A: Introduction: Hexadecimal numbers are based on the base-16 number system, which is the starting…
Q: Q1/ answer the following questions: 1) convert the number (21) from decimal number system to the…
A: As per our company guidelines, we are supposed to answer only three subparts of post and kindly…
Q: Explain why we prefer to use binary number systems in computers rather than decimal number systems.
A: Introduction: In general, computers are incapable of comprehending numbers or language. However,…
Q: What is the range of numbers that can be represented using 7-bit two's complement binary number?…
A: Given:
Q: Define Number Systems. Draw the table of Octal and Hexadecimal Number systems than Convert the…
A: a) 001011011 0000 0101 1011 0 5 11 ∴ (001011011)2=(05B)16
Q: What is the lowest number of bits (digits) required in the binary number approximately equal to the…
A: What is the lowest number of bits (digits) required in the binary number approximately equal to the…
Q: Perform the following calculations and show your answers in their original base. (You are required…
A: 1) 2278 X 468 = 131528 Steps: First, convert into binary numbers for simpler and easy calculation…
Q: What is the range of unsigned and signed decimal numbers as well as binary numbers that can be…
A: Given Data : Number of bits for the system = 10 bits.
Q: 2. Convert numbers between binary and hexadecimal number systems: a. Ob0110 0110 1101 = ? b. Ob1011…
A: a.0b011001101101=66D b. 0b101100010111=B17
Q: For the following questions, assume that we are using IEEE-754 Floating Point standard, with 9…
A: In this question, we have to translate the given numbers to binary numbers with the help of IEEE-754…
Q: Convert the following number system and also write down the steps for the same: [1 mark each] 1.…
A: There is not valid number 128 because in octal number their are only this number 0,1,2,3,4,5,6,7 .…
Q: What is the difference between unsigned numbers and signed numbers in binary? Explain 2's complement…
A: DIFFERENCE BETWEEN UNSIGNED NUMBER AND SIGNED NUMBER: Every binary number can be represented in two…
Q: Perform the following number base conversions. (You are required to show your conversion steps…
A: 1. (145.35)10 = ( ? )2
Q: Importance and advantages of binary number system in information technology
A: Importance and advantages of binary number system in information technology
Q: decimal equivalent for the following IEEE 754 single precision floating point number, 1 01111110…
A: IEEE 754 has 3 basic components: The Sign of Mantissa –This is as simple as the name. 0 represents…
Q: The binary number system is used to represent data in computers. Give two reasons why data in…
A: Intro Binary system:- A number is defined using the binary number system in the binary system. The…
Q: Perform step by step conversion of the following numbers if possible i. (1250)10 to (?)2 (100210)2…
A: i) (1250)10 to binary: Solution: Answer will be (10011100010)2
Q: identify the arithmetic operations in binary number systems with application in Information…
A: We are authorized to answer one question at a time since you have not mentioned which question you…
Q: Q10: List the priorities of the arithmetic operations. Q11: Find the value of A for the following: A…
A: Priority list of Arithmetic operations: Bracket Division/multiplication addition/subtraction…
Q: Show the normalised scientific notation, the exponent, and the sign bit. 2. What is the number…
A: Given: We are given the binary floating representation of some number in single precision. Goal: We…
Q: Perform the arithmetic operation (+13) + (-6) and (-13) - (-6) in the signed numbers?
A: (+13) + (-6)=(+7)
Q: How can binary values be converted into unsigned and signed integers?
A: Introduction 1. Unsigned Numbers: Unsigned numbers don’t have any sign, these can contain the only…
Q: What is the greatest number that can be expressed with 5, 10, or 22 bits? Please demonstrate all…
A: If there are n bits then total count of numbers that can be represented is 2n
Q: State the largest and smallest 32-bit IEEE standard Floating numbers and Derive the largest denormal…
A: Largest 32 bit IEEE standard Floating point number sign bit: 1 bit- 0 Exponent bit: 8 bit- 11111110…
Q: Given the below IEEE 754 floating point representation, what is the corresponding decimal…
A: Solution Option D could be the answer 17.875 Detailed explanation is given below
Q: The below numbers are written in 32-bit IEEE floating point format. What numbers are those? (a)…
A: (a) 11000001111000000000000000000000 Sign Bit- 1 The number has a negative sign as the sign bit is…
Q: What is the biggest value we can express in 15 bits if we use unsigned numbers? Express using metric…
A: 1) The range of numbers that can be stored with a set number of bits, can be found using formula:…
Q: Consider a 32-bit hexadecimal number stored in memory as follows: Address Value 100 2A 101…
A: Answer:In Little Endian the order is reversed. So the binary representation of reversed order is as…
Q: 3. Use IEEE single-precision floating-point numbers to compute 29x 15
A: IEEE triple fidelity single juncture: IEEE fixed boolean numerical numeral type is a numerical…
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- What is the number of bits needed to represent the double of a number represented in 5 bits in the binary system? Please Show working out - in stepsWhat is the lowest number of bits (digits) required in the binary number approximately equal to the decimal number 0.611710 so that the binary number has the same or better precision?How can binary values be converted into unsigned and signed integers?
- What is the function of hexadecimal numbers? Explain what the relevance of using the hexadecimal system is.I want to know about the rounding rules to the binary numbers. What if you were working with a single precision computer and had to round x = (1.1111...1) * 2^-1 with the last 1 being the 26th digit? How would you do that? Can you give different examples of binary numbers that you would have to use other rules to round?. Convert 168 and 123 to binary and then compute their addition. How many bytes does it take to represent each number? How many bytes are needed for the answer?
- Find out the smallest negative 8-bit value in binary, hexadecimal, and decimal?The essential features of a number system are Radix Set of distinct counting digits explain?Short answer and dont copy past Different ways of representing integers in a binary format exists like the sign magnitude and the One’s complement. Why the sign magnitude is almost neither used in practice?
- Find out the largest positive 8-bit value in binary, hexadecimal, and decimal?What is the decimal value of the following number (which is in single-precision IEEE floating point format?) Show your work and explain what each part of the representation is and how you achieve your final answer. 00111111010000000000000000000000Using a "word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: a) Unsigned integer, b) Signed magnitude, c) One’s complement, d) Two's complementBinary Unsigned IntegerSigned MagnitudeOne’sComplementTwo’s Complement0000000100100011010001010110011110001001101010111100110111101111