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Problem 1: Convert the following numbers in decimal: a) (10110.0101)2, b) (16.5)16, c) (1011001)2,

Problem 1: Convert the following numbers in decimal: a) (10110.0101)2, b) (16.5)16, c) (1011001)2,

Database System Concepts
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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Problem 1: Convert the following numbers in decimal: a) (10110.0101)2, b) (16.5)16, c) (1011001)2, Problem 2: Find out the 1's and 2's complements of the following binary numbers given in signed magnitude form: a) 01101010 b) 01111110 c) 00000001 d) 00000110 Problem 3: Assume we are dealing with 8 bit numbers for this problem. Fill in the following table according to the representation given by the column header. Number Signed Magnitude form 1's complement 2's complement 64 -28 73 -65 Problem 4: Perform the arithmetic operations below with binary numbers and with negative numbers in signed-2's complement representation. Use eight bits to accommodate each number together with its sign. a) -35 - 40 b) 60 – 79 c) 55 – 43 d) 25 x 10 Problem 5: What is the maximum positive number and minimum negative number that can be represented by 2s' complement using the following bits a) 4 bits b) 5 bits c) 6 bits
Transcribed Image Text:Problem 1: Convert the following numbers in decimal: a) (10110.0101)2, b) (16.5)16, c) (1011001)2, Problem 2: Find out the 1's and 2's complements of the following binary numbers given in signed magnitude form: a) 01101010 b) 01111110 c) 00000001 d) 00000110 Problem 3: Assume we are dealing with 8 bit numbers for this problem. Fill in the following table according to the representation given by the column header. Number Signed Magnitude form 1's complement 2's complement 64 -28 73 -65 Problem 4: Perform the arithmetic operations below with binary numbers and with negative numbers in signed-2's complement representation. Use eight bits to accommodate each number together with its sign. a) -35 - 40 b) 60 – 79 c) 55 – 43 d) 25 x 10 Problem 5: What is the maximum positive number and minimum negative number that can be represented by 2s' complement using the following bits a) 4 bits b) 5 bits c) 6 bits
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