Number representation and overflow] Consider the following 8 bit binary number numbers below: A= 11010111 B= 10011101 a. What is the value of A in decimal if we interpreted A as an unsigned number? b. What is the value of B in decimal if we interpreted B as a two's complement number? c. In two's complement representations for both A and B: i. What is the value of (A + B)? Indicate if there is an overflow? i. What is the value of (B - A)? Indicate if there is an overflow?

Number representation and overflow] Consider the following 8 bit binary number numbers below: A= 11010111 B= 10011101 a. What is the value of A in decimal if we interpreted A as an unsigned number? b. What is the value of B in decimal if we interpreted B as a two's complement number? c. In two's complement representations for both A and B: i. What is the value of (A + B)? Indicate if there is an overflow? i. What is the value of (B - A)? Indicate if there is an overflow?

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

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True/False 1. The octal number system is a weighted system with eight digits.2. The binary number system is a weighted system with two digits.3. MSB stands for most significant bit.4. In hexadecimal, 9 + 1 = 10.5. The 1’s complement of the binary number 1010 is 0101.6. The 2’s complement of the binary number 1111 is 0000.7. The right-most bit in a signed binary number is the sign bit.8. The hexadecimal number system has 16 characters, six of which are alphabetic characters.9. BCD stands for binary coded decimal.10. An error in a given code can be detected by verifying the parity bit.11. CRC stands for cyclic redundancy check.12. The modulo-2 sum of 11 and 10 is 100.
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For this problem we will use a hypothetical floating-point representation that is similar to IEEE-754. It uses 12 bits total, consisting of 1 sign bit, 5 exponent bits, and 6 mantissa bits. Convert -14.125 to this format. Write the three portions of the number below as binary strings using the appropriate number of bits. Sign (1 bit): Exponent (5 bits): Mantissa (6 bits):
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?
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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 D
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