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

Forward chaining, Forward Chaining: Now we have suppose we have a set ...

Forward Chaining: Now we have suppose we have a set of axioms that we know are true statements about the world. Whether we set these to each be an initial state of the segoal

Explain the significance ipv6 over ipv4, Explain the significance IPV6 over...

Explain the significance IPV6 over IPV4. The maximum size of an Ipv6 datagram is 65575 bytes, with the 0 bytes Ipv6 header. Ipv6 also describe a minimum reassembly buffer size:

Differences between inter statement and intra statement, Differences betwee...

Differences between inter statement and intra statement delay? //define register variables reg a, b, c; //intra assignment delays initial begin a = 0; c = 0;

Determine by which digits are represented in dtmf phone, In a DTMF phone, d...

In a DTMF phone, digits are represented by: (A)  Orthogonal frequencies. (B)  Orthogonal Phases. (C)  Orthogonal codes. (D)  Orthogonal pulses. Ans: Di

State in brief about the pseudo instruction, State in brief about the pseud...

State in brief about the pseudo instruction A pseudo instruction isn't a real instruction. CPU can't execute it. It often requires a complex architectural operation and if it w

Define realization of one flip flop using other flip flops, Define Realizat...

Define Realization of one flip flop using other flip flops? It is probable to implement a flip flop circuit using any other circuit. Universal block diagram is shown below.

Compute the positive integer and square root, Question: Q1) Write a cod...

Question: Q1) Write a code that asks the user for a positive integer, computes the square root of that integer, and return the result to the user. The computational error needs

Fundamental components of a CPU, Q. Fundamental components of a CPU? Th...

Q. Fundamental components of a CPU? The two fundamental components of a CPU are control unit and arithmetic and logic unit. The control unit of CPU selects and interprets progr

What is polling, What is polling? Polling is a scheme or an algorithm t...

What is polling? Polling is a scheme or an algorithm to recognize the devices interrupting the processor. Polling is employed when multiple devices interrupt the processor by o

Why did some plug-ins disappear for 0.99.19, Some of the plug-ins have prov...

Some of the plug-ins have proven unstable. These have been moved into a split download, which should be available anywhere you got the GIMP, in the file gimp-plugins-unstable-VERSI

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