Binary number system using 8 bit registers, Computer Engineering

Assignment Help:

Q. Binary number system using 8 bit registers?

Add 25 and -30 in binary number system using 8 bit registers using:

  • Signed magnitude representation
  • Signed 1's complement
  • Signed 2's complement

Solution:

873_Binary number system using 8 bit registers.png

To do arithmetic addition with one negative number only we should check magnitude of numbers. The number having smaller magnitude is then subtracted from larger number and sign of bigger number is selected. Implementation of such a technique in digital hardware will need a long sequence of control decisions and circuits which will add and compare and subtract numbers. Is there a better substitute than this technique? Let's first try signed 2's complement.

815_Binary number system using 8 bit registers1.png

Now let's do addition using signed 2's complement notation:

349_Binary number system using 8 bit registers2.png

Please note how easy it is to add 2 numbers employing signed 2's Complement. This method requires just one control decision and just one circuit for adding two numbers however it puts on extra condition that negative numbers must be stored in signed 2's complement notation in registers. This can be obtained by complementing positive number bit by bit and then incrementing resultant by 1 to get signed 2's complement.


Related Discussions:- Binary number system using 8 bit registers

Show the characteristic of cache memory, Q. Show the characteristic of cach...

Q. Show the characteristic of cache memory? The essential characteristic of cache memory is its fast access time. So very little or no time should be wasted when searching for

Difference in natural frequency and resonant frequency, (a)  Explain in a f...

(a)  Explain in a few sentences the difference between a natural frequency and a resonant frequency.  Also clarify why for a specific system or component these frequencies may diff

Rpn procedure, Apply this algorithm to your MASM program 1) Declare the ...

Apply this algorithm to your MASM program 1) Declare the following variables in your data segment: .data ; ; These are the values of the variables ; Variables

Execute the command in linux, Now that the user's command has been parsed i...

Now that the user's command has been parsed into an array of char*, we can pass this to the OS to execute the command. To execute the command, use the execvp() function from unis

4 variable k-maps, 4-variable K-maps have 16 squares which arearranged in 4...

4-variable K-maps have 16 squares which arearranged in 4 columns and 4 rows.  Columns and rows are labeled with 2 variables. The rows are arranged so that C or D ch

Boiler troubles, Differences between internal and external treatment in boi...

Differences between internal and external treatment in boiler

Explain the differences between paging and segmentation, Explain the differ...

Explain the differences between Paging and segmentation. Paging and segmentation P aging Segmentation Computer memory is separa

what is a real time system, A real time system is a computer system that u...

A real time system is a computer system that updates the information at the similar rate it receives it. Real time system is of two types:- a)  Hard real time system and

Determine the decimal equivalent of binary number, The decimal equivalent o...

The decimal equivalent of Binary number 11010 is ? Ans. 11010 = 1 X 2 4 + 1 X 2 3 + 0 X 2 2 + 1 X 2 1 = 26.

Number system, Number systems   Consider a decimal number:         ...

Number systems   Consider a decimal number:               7654.32   Short hand for:            7 * 103 + 6*102 + 5* 101 + 4*100 + 3*10 -1  + 2*10 -2   Likewise

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd