Explain the working of a half subtractor, Computer Engineering

Assignment Help:

With the help of a truth table explain the working of a half subtractor. Draw the logic diagram using gates.

Ans:

Half Subtractor: For the subtraction of B (subtrahend) from A (minuend) in a logic circuit, where A and B are 1-bit numbers is termed to as a Half-Subtractor. The truth table of half subtractor is illustrated in below. Now there A and B are the two inputs and Di that is difference and Bo that is borrow are the two outputs. If B is larger than A (for example, A=0 and B=1), a borrow is essential,

66_Truth Table no.1.png

Truth Table no.1

By the Truth Table, the logical expressions for Di and Bo are acquired as

Di = A‾ B + A B‾

BO = A‾ B

1111_Logic Diagram of Half Subtractor.png

Fig.(a) Logic Diagram of Half Subtractor       Fig.(b) Block Diagram of Half Subtractor

In Table, input variable B is subtracted from A to provide output Di difference. If B is larger than A (for example, A = 0 and B = 1), borrow is essential. In the Truth Table, inputs are A  and  B,  Outputs  are  Di (difference)  and  B0 (borrow). Therefore, the Boolean expressions for the half subtractor by the Truth Table can be written as

Di = A ⊕ B ---------(1)

BO = A‾ B    --------(2)

Through combining Boolean Expressions (1) and (2), we find the logic circuit for Half Subtractor demonstrated in fig.(a) and its block diagram is demonstrated in fig.(b).


Related Discussions:- Explain the working of a half subtractor

explain compiler, Compiler is used to change the high-level language progr...

Compiler is used to change the high-level language program into machine code at a time. It doesn't needs special instruction to store in a memory, it keeps automatically. The imple

Differentiate between exception and validation testing, Differentiate betwe...

Differentiate between exception and validation testing. - Validation testing is done to test the software in conformance to the needs specified. It aims to demonstrate that the

How do you split hydrogen and oxygen gases, Q. How do you split Hydrogen an...

Q. How do you split Hydrogen and Oxygen gases in industrial electrolysis of water process? Answer:- In oxygen, electrolysis and hydrogen gas are produced at different elec

Write a .net web service program, Question: (a) Give three typical use...

Question: (a) Give three typical uses of Web Services. (b) Describe the term WebService Behavior and list its advantages. (c) Explain how Proxy classes are used to acc

List criteria of data structures used in language processing, List the crit...

List the criteria on the basis of which data structures used in language processing can be classified. In language processing the data structures utilization can be classified

What are the properties of e-cash, What are the properties of E-cash? ...

What are the properties of E-cash? Properties: a. Monetary Value: It must be backed through either cash, bank –certified cashier’s cheque and authorized credit cards.

Define protocol, Define Protocol. It is a set of rules that are followe...

Define Protocol. It is a set of rules that are followed by interconnecting computers and terminals to make sure the orderly transfer of information

Differences between OSI and TCP/IP reference models, What are the main diff...

What are the main differences between OSI and TCP/ IP reference models? Explain briefly. We will be considering only on the key differences among the two references models. Th

What is a flip-flop, What is a flip-flop? Ans. Flip-flop is particu...

What is a flip-flop? Ans. Flip-flop is particular bit memory cell. This stores individual bit information in its true and compliment form. It is the basic block of any sequ

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