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.

Question

Considering the TM example of binary sum ( see attached)do the step-by-step of execution for the binary numbers 1101 and 11. Feel free to use the Formal Language Editor Tool to execute it; Write it down the current state of the tape (including the head position) and indicate the current state of the TM at each step.

Answer 1

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.

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