Suppose we use six bits to represent a two's complement binary number. (a) What is the largest number that can be represented? (b) What is the smallest number that can be represented? (c) How many total base-10 numbers can be represented?

Suppose we use six bits to represent a two's complement binary number. (a) What is the largest number that can be represented? (b) What is the smallest number that can be represented? (c) How many total base-10 numbers can be represented?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Droids on the planet Tatooine perform calculations in base-6. What is the largest base-6 number that…

A: Concept 1. In base N maximum total number of different digits are present from 0 to N - 1 Example.…

Q: 4. Fill in the empty slots in the table by converting numbers into different representations. All…

A: SOLUTION - Binary Hexadecimal Unsigned Decimal Signed Decimal 0010 0001 21 33 33 0110 1111…

Q: -16 exponent bias, and no implied 1 bit to the left of the radix point, the negative binary (real)…

A: The number is represented with 14 bits and 1011 are added to the left and decimal is shifted to the…

Q: 3. On a computer, floating-point numbers are represented in the following way FLOATING-POINT…

A: 1 bit for the sign of the exponent (t)3 bits for the absolute value of the exponent (e)1 bit for the…

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: For this problem we will use a hypothetical floating-point representation that is similar to…

A: Given Number -14.125, Sign (1 bit): If the number is positive then the sign bit is '0' If the…

Q: Suppose the characters 0, 1,...,8,9, A, B, C, D, E, F are used to represent a hex- adecimal…

A: Suppose the characters 0,1,...,8,9, A, B, C, D, E, F are used to represent a hex adecimal (base-16)…

Q: The representation of a number using a certain base, or any base, could be very long if the number…

A: Please refer to the following step for the complete solution to the problem above.

Q: Add the unsigned integer number pairs provided below; do the addition in binary, the word size is 8…

A: Integer variables, for example, can be represented in one of two ways: signed or unsigned. Signed…

Q: Convert the decimal number -4.375 to a floating-point number expressed in the 14-bit simple model…

A: Here in this question we have given a decimals no - 4.375 and we have asked to convert into 14 bit…

Q: For 10 bits floating point representation using: seeeefffff, what is the bias for denormalized…

A: Please give positive ratings for my efforts. Thanks. ANSWER Qstn 1 : Number of bits for…

Q: You may express the decimal number 30 in one of the following ways to get its equivalent in 8-bit…

A: Decimal form of 30. Use the One's Complement method to encode the decimal value 30 as an 8-bit…

Q: Give the codewords of 4-bit binary natural number (BNN) and 4-bit two’s complement fixed-point…

A: Required : 4-bit BNN and two’s complement fixed-point number for 0.7

Q: 2. What are the binary equivalents of the following decimal numbers (signed integer - 2s…

A: - We need to get the binary equivalent of the decimal numbers provided.

Q: What is the range of integers representable in 12 bits? Use decimal notation! a)…

A: We are asked to provide the range of 12-bit integers in unsigned representation and 2's complement…

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: What are the binary equivalents of the following hexadecimal numbers? 66CCFF; 3366FF; FFFFFF;…

A: Given hexadecimal numbers are 66CCFF,3366FF,FFFFFF,123456,ABCDEF. Hexadecimal Number : Hexa means…

Q: 1. What is the binary representation of the largest positive integer that can be represented with 19…

A: A signed bit binary representation always uses the first one bit (MSB) for the sign bit, therefore…

Q: A)The decimal number 162 what is the binary representation of it ? B)the decimal number of -53 what…

A: Divide 162 by 2 and use the integer quotient obtained in this step as the dividend for the next…

Question

1.9
Suppose we use six bits to represent a two's complement binary number.
(a)
What is the largest number that can be represented?
(b)
What is the smallest number that can be represented?
(c)
How many total base-10 numbers can be represented?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Basics

Part a)

Part b)

Part c)

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

What decimal value does the 8-bit binary number 10110100have if:1. a) It is interpreted as an unsigned number?2. b) It is on a computer using signed-magnituderepresentation?3. c) It is on a computer using one’s complementrepresentation?4. d) It is on a computer using two’s complementrepresentation?5. e) It is on a computer using excess-127 representation?
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) )
Convert the decimal number -19.625 to a floating-point number expressed in the 14-bit simple model given in your text (1 bit for the sign, 5 bits for exponent using excess-15 notation, and 8 bit mantissa with no implied bit). Question 16 Convert the following decimal Real number to fixed point binary: 19.62510 Assume 8 bits for the whole part and 8 bits for the fraction
We are given a number 0b1100_0000 represented in a 8-bit system. Prob 2. Answer the following questions: . What is the value in decimal if this is an unsigned number? . What is the value in decimal if this is a signed number? • If we extend (type case) this number to a 16-bit system as an unsigned number, what will it be in hexadecimal? • If we extend (type case) this number to a 16-bit system as a signed number, what will it be in hexadecimal?
There are multiple schemes that can be used to represent integers in binary, including 1. Assuming that we use 12 bits to represent a number in two's complement scheme, answer the following questions: (a) What are the largest and smallest integers that can be represented? (b) How many different values can be represented? (c) How to represent 2710? (d) How to represent -4510 if supported?
A computer "nibble" consists of four "bits," each bit being either a 0 or a 1. If characters are represented using a code that uses a nibble for each character, how many different characters can be represented?