4-bit Adder-Subtractor Circuit
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4-bit Adder-Subtractor Circuit

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Questions and Answers

What is the function of the mode input S in a 4-bit adder-subtractor circuit?

The mode input S controls whether the circuit performs addition (S = 0) or subtraction (S = 1).

How does the circuit perform subtraction when S = 1?

When S = 1, the circuit complements B and adds 1 through the input carry, effectively calculating A plus the 2's complement of B.

Describe the operation of a 4-bit binary incrementer.

A 4-bit binary incrementer adds one to the binary number in a register, using half-adders to propagate carries through the bits.

What is the purpose of half-adders in a 4-bit incremental circuit?

<p>Half-adders are used to add the least significant bit to a constant logic-1, enabling the increment operation.</p> Signup and view all the answers

Explain the role of multiplexers in a 4-bit arithmetic circuit.

<p>Multiplexers are used to select different arithmetic operations by controlling the data inputs to the adder component.</p> Signup and view all the answers

What is a circular shift and how does it differ from other types of shifts?

<p>A circular shift circulates bits around the two ends of the register without data loss, unlike other shifts that may lose information.</p> Signup and view all the answers

How is the output generated in a 4-bit binary incrementer?

<p>The output is generated by the final sum obtained from the cascading half-adders after adding one to the input value.</p> Signup and view all the answers

Describe the effect of an arithmetic shift-left operation on a signed binary number.

<p>An arithmetic shift-left multiplies a signed binary number by 2.</p> Signup and view all the answers

What is the significance of using a full-adder in the 4-bit adder-subtractor circuit?

<p>Full-adders are crucial for handling carry bits during the addition or subtraction operations, allowing for accurate multi-bit calculations.</p> Signup and view all the answers

What happens to a signed binary number during an arithmetic shift-right operation?

<p>An arithmetic shift-right divides the signed binary number by 2.</p> Signup and view all the answers

What happens to the input carry (C0) when performing subtraction in the adder-subtractor circuit?

<p>When performing subtraction, the input carry C0 is set to 1 to account for the addition of 1 while calculating 2's complement.</p> Signup and view all the answers

How is the sign bit affected by arithmetic shift operations?

<p>The sign bit remains unchanged during arithmetic shift operations.</p> Signup and view all the answers

In a combinational circuit shifter, what do the selection inputs determine?

<p>The selection inputs determine the direction of the shift operation, either left or right.</p> Signup and view all the answers

What are the required components for constructing a shifter with n data inputs and outputs?

<p>A shifter with n data inputs and outputs requires n multiplexers.</p> Signup and view all the answers

What is the primary function of the two serial inputs in the shifter design described?

<p>The two serial inputs are used to control the shift left and shift right operations.</p> Signup and view all the answers

Explain the term 'rotate operation' in the context of circular shifts.

<p>The term 'rotate operation' refers to the process of circularly shifting bits around the register, maintaining the data in a continuous loop.</p> Signup and view all the answers

What happens when timing signal T4 becomes active?

<p>The output of the AND gate for the control function D3D4 becomes active, which clears the sequence counter SC to 0 on the next positive clock transition.</p> Signup and view all the answers

Describe the four phases of an instruction cycle.

<p>The four phases are: Fetch an instruction from memory, Decode the instruction, Read the effective address from memory if necessary, and Execute the instruction.</p> Signup and view all the answers

What is the significance of the sequence counter SC in the instruction cycle?

<p>The sequence counter SC is incremented after each clock pulse to progress through the timing signals, ensuring the fetch and decode operations occur in sequence.</p> Signup and view all the answers

How is the instruction transferred from memory to the instruction register IR?

<p>The instruction is transferred during timing signal T1, where it is read into the instruction register IR while simultaneously incrementing the program counter PC.</p> Signup and view all the answers

Why is it necessary to transfer the address from PC to AR during timing signal T0?

<p>It is necessary because only AR is connected to the address inputs of memory, allowing the fetch operation to access the correct instruction.</p> Signup and view all the answers

What is the role of the AND gate in the control function of the sequence counter?

<p>The AND gate controls when the CLR input of SC is activated, dictating when the counter is cleared and transitioning the circuit based on timing signals.</p> Signup and view all the answers

Explain the purpose of decoding the instruction during the fetch and decode phases.

<p>Decoding the instruction is vital for determining the operation that needs to be executed and understanding any necessary addressing modes.</p> Signup and view all the answers

What condition causes the instruction cycle to stop?

<p>The instruction cycle stops when a HALT instruction is encountered, terminating the continuous execution of fetch-decode-execute cycles.</p> Signup and view all the answers

What is the role of the input flag FGI in the input-output configuration?

<p>The input flag FGI indicates whether new information is available in the input device; it is set to 1 when new information is present and cleared to 0 when the information is accepted by the computer.</p> Signup and view all the answers

Describe the sequence of events that occurs when a key is pressed on the keyboard.

<p>When a key is pressed, an 8-bit alphanumeric code is shifted into INPR, and the input flag FGI is set to 1 for the computer to process the input.</p> Signup and view all the answers

How does the computer determine when to transfer information from INPR to AC?

<p>The computer checks if the input flag FGI is set to 1; if it is, the information in INPR is transferred to AC, and FGI is cleared to 0.</p> Signup and view all the answers

What happens to the output flag FGO when the output device is busy printing?

<p>When the output device is busy, the output flag FGO is cleared to 0, indicating that it cannot accept new information until the current printing is completed.</p> Signup and view all the answers

Explain the significance of the 8-bit input register INPR.

<p>The 8-bit input register INPR holds alphanumeric input information that is received from the keyboard for processing by the computer.</p> Signup and view all the answers

What is the function of the output register OUTR in the output process?

<p>The output register OUTR receives encoded information from the accumulator (AC) for the output device to print.</p> Signup and view all the answers

What are input and output instructions used for in the context of the system described?

<p>Input and output instructions are necessary for transferring information to and from the AC register, checking flag bits, and controlling the interrupt facility.</p> Signup and view all the answers

How does the computer handle new information when the input flag FGI is cleared?

<p>When FGI is cleared to 0, the computer allows new information to be shifted into INPR by striking another key.</p> Signup and view all the answers

What role do the selection inputs S3S2 play in determining the type of operation in a digital system?

<p>The selection inputs S3S2 determine the type of operation by selecting between arithmetic, logic, and shift operations based on their binary values.</p> Signup and view all the answers

What is the significance of the stored program concept in general-purpose computers?

<p>The stored program concept allows computers to store instructions and data in memory, enabling them to execute a sequence of micro operations as defined by programs.</p> Signup and view all the answers

In the context of instruction codes, what does the operation part signify?

<p>The operation part of an instruction code signifies the specific operation to be performed, such as addition, subtraction, or shifting.</p> Signup and view all the answers

What happens to the input carry during logic operations as stated in the table?

<p>During logic operations, the input carry has no effect and is treated as a don't-care condition (marked with x's).</p> Signup and view all the answers

How does a computer execute an instruction read from memory?

<p>After reading an instruction from memory, the computer places it in a control register, which interprets the binary code and issues a sequence of micro operations to execute it.</p> Signup and view all the answers

What are instruction codes, and why are they important?

<p>Instruction codes are binary codes that specify a sequence of micro operations for the computer, and they are important because they define what actions the computer will perform.</p> Signup and view all the answers

Can all computers execute any operation without limitations, based on instruction codes?

<p>No, every computer has its own unique instruction set which defines the specific operations it can execute.</p> Signup and view all the answers

What is meant by micro operations in the context of computer instructions?

<p>Micro operations refer to the fundamental operations that a computer performs on data stored in its registers as specified by the instruction codes.</p> Signup and view all the answers

Study Notes

4-Bit Adder-Subtractor Circuit

  • Mode input S alters the function: S = 0 for addition, S = 1 for subtraction.
  • Exclusive-OR gates pair the input M with B; when S = 0, B remains unchanged; when S = 1, B's inputs are complemented.
  • When subtracting, input carry C0 is set to 1, facilitating the addition of 2's complement of B.

Binary Incrementer

  • The increment micro-operation increases a register’s value by one.
  • Example: A 4-bit register with binary 1101 increments to 1110.
  • Each half-adder in the increment circuit connects outputs, with the least significant half-adder receiving a constant logic-1 input.
  • Extending the design allows for n-bit incrementers with multiple half-adders.

Arithmetic Circuit

  • A composite circuit can perform various arithmetic micro-operations.
  • Basic structure includes parallel adder circuits and multiplexers for operation selection.
  • The circuit incorporates two 4-bit inputs (A and B) and one 4-bit output (D).

Circular Shift

  • Circular shifting rotates bits in a register without losing any information.
  • Outputs re-enter as inputs, allowing for continuous rotation in either direction.
  • Notation: cil for circular shift left, cir for circular shift right.

Arithmetic Shift

  • Arithmetic shifts adjust signed binary numbers—left shift multiplies by 2; right shift divides by 2.
  • The sign bit remains unchanged during shifts, preserving the number's sign.
  • A shifter designed with multiplexers caters to various shift operations and controls input direction.

Instruction Codes

  • Defines the sequence of micro-operations within a digital system.
  • Programs instruct the computer by dictating operations and operand sequences.
  • Binary instruction codes composed of operation parts specify actions like addition, subtraction, and shifts.
  • Each computer has a distinct instruction set based on the stored program concept.

Instruction Cycle

  • Comprises phases: fetching instructions from memory, decoding them, addressing, and executing.
  • Upon completion of execution, the process loops back to fetching the next instruction until a HALT instruction is encountered.

Fetch and Decode Phases

  • Program Counter (PC) loads the first instruction address.
  • Sequence Counter (SC) manages timing signals and increments after each clock pulse.
  • Micro-operations include transferring data to the Address Register (AR) and Instruction Register (IR) during specific timing signals.

Input-Output Configuration

  • Serial communication transfers data in 8-bit alphanumeric code.
  • The input interface transmits data from the keyboard to the Input Register (INPR).
  • An input flag (FGI) indicates new information availability; it signals data readiness to be transferred into the Accumulator (AC).

Information Transfer Process

  • Initially, FGI is cleared; when a key is pressed, data loads into INPR, setting FGI to 1.
  • If the flag is active, data transfers from INPR to AC in parallel, then FGI resets to 0 for new input.
  • Output process starts with the output flag (FGO) cleared; if FGO is active, data is sent from AC to Output Register (OUTR) for further processing.

Input-Output Instructions

  • Facilitate data transfer to/from the AC register, manage flag bits, and control interrupts.
  • Key for ensuring accurate input and output processing in the computing system.

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Explore the fundamentals of a 4-bit adder-subtractor circuit in this quiz. Understand how the mode input S controls the operation between addition and subtraction. Test your knowledge on how exclusive-OR gates and full-adders work in this context.

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