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 signedmagnitude form:a) 01101010b) 01111110c) 00000001d) 00000110Problem 3: Assume we are dealing with 8 bit numbers for this problem. Fill in the following table accordingto the representation given by the column header.NumberSigned Magnitude form1's complement2's complement64-2873-65Problem 4: Perform the arithmetic operations below with binary numbers and with negative numbersin signed-2's complement representation. Use eight bits to accommodate each number together with itssign.a) -35 - 40b) 60 – 79c) 55 – 43d) 25 x 10Problem 5: What is the maximum positive number and minimum negative number that can berepresented by 2s' complement using the following bitsa) 4 bitsb) 5 bitsc) 6 bits

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

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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Question

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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