Binary Encoders and Decoders

What is the primary function of an encoder in the context of digital circuits?

An encoder performs the same operation as a decoder.

Explain the fundamental difference between a binary encoder and a priority encoder.

A combinational logic circuit that converts $2^n$ inputs into an n-bit binary code is known as a ______ encoder.

Match the following encoder types with their key characteristics:

Which of the following is a characteristic of a binary encoder?

In a binary encoder, multiple input lines can be activated simultaneously to produce a valid output.

What is the purpose of the 'priority' feature in a priority encoder?

For a 4-to-2 encoder, the number '4' represents the number of ______ lines, while '2' represents the number of output lines.

Match each encoder type with its corresponding example:

What is the inverse operation of an encoder?

Encoders transform binary information into a less compactbinary form.

In a circuit with an encoder, what condition related to its input lines must be met for a possible combination of the output lines?

A binary encoder is a special logic circuit that converts $2^n$ ______ lines into n output lines.

Match the component with its property:

According to the truth table shown, which outputs (A1, A0) correspond to the active input D1?

Based on the logic equations A0 = D1 + D3 and A1 = D2 + D3, if inputs D1 and D2 are active, then the outputs will be A0 = 1 and A1 = 1?

Briefly explain how the logic equations A0 = D1 + D3 and A1 = D2 + D3 are used to create a circuit diagram for a binary encoder

Given the logic equations for a binary encoder, $A0 = D1 + D3$ and $A1 = D2 + D3$, the '+' sign represents an ______ gate in the circuit diagram.

Match each logic equation to its corresponding circuit component or output:

What is a major limitation of a binary encoder?

A binary encoder can effectively manage situations where multiple input lines are activated simultaneously.

Why is a 'priority encoder' preferred over a standard binary encoder in applications where multiple inputs might be active at the same time?

If more than one input needs to be activated in a digital circuit, a ______ encoder should be used instead of a binary encoder.

Match the encoder type with its application:

What is one application of a binary encoder?

A binary encoder's application in a keypad is to convert alphabetical characters into binary code.

Describe one way in which a binary encoder might be implemented in a 10-key numeric keypad interface.

Designing an interface to encode 10 separate input switches and output the binary value corresponding to each input switch is an application for ______ encoders.

In a decimal-to-BCD encoder, what does BCD stand for?

A decimal-to-BCD encoder converts each decimal digit into its equivalent binary number.

What is the purpose of a decimal-to-BCD encoder?

The output 0001 from BCD encoder represents input number ______.

Connect input to its BCD representation:

When activating an input, what is the binary equivalent of the decimal number.

When creating the logic equations for a decimal to BCD encoder, the equation A=8+9 indicates that the output 'A' should be active if either input '8' or input '9' is active.

For a decimal to BCD encoder, briefly explain how the logic equation D = 1 + 3 + 5 + 7 + 9 defines the conditions under which the D (MSB) output will be active.

In the BCD encoder equations, A = 8+9, B = 4+5+6+7, C = 2+3+6+7, D = 1+3+5+7+9, the outputs (A, B, C, and D) can be translated into BCD ______.

Identify each

To design a binary half-adder using a decoder and OR gates, what is the primary function of OR gates?

A half-adder performs binary addition of three single-bit binary numbers.