Program Explanation Table that includes the numbers from 11 to 16 is given below: Binary Octal Decimal 000 0 0 001 1 1 010 2 2 011 3 3 100 4 4 101 5 5 110 6 6 111 7 7 1000 10 8 1001 11 9 1010 12 10 1011 13 11 1100 14 12 1101 15 13 1110 16 14 1111 17 15 10000 20 16 Conversion of 1011 to octal and decimal: For converting the binary number 1011 to octal, below steps can be followed: Separate the number 1011 into individual parts. Convert each binary digit into its corresponding octal value. So the octal equivalent for 001 is 1 and 011 is 3. Therefore, after converting binary number 1011 it gives 13 in octal. For converting the binary number 1011 to decimal, below steps can be followed: Since 1011 is a binary number, its base is 2. Process the number from right to left. Convert every binary digit into its corresponding decimal value. After converting binary number 1011, it gives 11 as decimal value. Conversion of 1100 to octal and decimal: For converting the binary number 1100 to octal, below steps can be followed: Separate the number 1100 into individual parts. Convert each binary digit into its corresponding octal value. So the octal equivalent for the binary number 001 is 1 and 100 is 4. Therefore, after converting binary number 1100 it gives 14 in octal. For converting the binary number 1100 to decimal, below steps can be followed: Since 1100 is a base number, its base is 2. Process the number from right to left. Convert each binary digit into its corresponding decimal value. After converting binary number 1100, it gives 12 as decimal value. Conversion of 1101 to octal and decimal: For converting the binary number 1101 to octal, below steps can be followed: Separate the number 1101 into individual parts. Convert each binary digit into its corresponding octal value. So the octal equivalent for the binary number 001 is 1 and 101 is 5...

7th Edition

ISBN: 9781284155617

Author: Nell Dale, John Lewis

Publisher: Jones & Bartlett Learning

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Question

Chapter 2, Problem 26E

Program Plan Intro

Binary numbers:

Binary numbers are the numbers that can be represented in two digits 0 or 1.

Each digit that is 0 or 1 in a binary number system is also known as bits.

As it contains 2 digits, the base value of binary system is 2.

Decimal numbers:

A decimal system consists of numbers from 0 to 9.

Using a sequence of one or more digits, a decimal number can be represented.

As it contains 10 digits, the base value of a decimal number system is 10.

Octal numbers:

An octal number system consists of numbers from 0 to 7.

A machine code generally contains binary digits that can be represented in bits and are very large to handle in operating system.

As it contains 8 binary digits, base value of an octal number system is 8.

By grouping consecutive binary digits into three groups starting from the right, octal numbers can be made from binary numbers.

Expert Solution & Answer

Chapter 2 Solutions

Computer Science Illuminated

Ch. 2 - Prob. 1E Ch. 2 - Prob. 2E Ch. 2 - Prob. 3E Ch. 2 - Prob. 4E Ch. 2 - Prob. 5E Ch. 2 - Prob. 6E Ch. 2 - Prob. 7E Ch. 2 - Prob. 8E Ch. 2 - Prob. 9E Ch. 2 - Prob. 10E

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