Digital Logic and Systems Quiz

A digital circuit where the output depends only on the current input values, no memory.

Basic building block of digital circuits, combining transistors for binary logic.

Inverts the input signal; 0 becomes 1, and 1 becomes 0.

Outputs 1 only if all inputs are 1; otherwise, outputs 0.

Outputs 1 if at least one input is 1; otherwise, outputs 0.

Used in calculators, computers, and digital control systems.

CLC can be categorized by their function, such as arithmetic logic, data transfer, or code conversion.

The output of a CLC depends solely on the current input; no memory involved.

A basic logic circuit combining two single-bit binary numbers (A & B) to produce a sum and carry output. It's the foundation for adding larger binary numbers.

The Half Adder creates two outputs: 'sum' and 'carry'. 'Sum' gives the least significant bit of the addition, while 'carry' indicates if there is a carryover to the next place value.

The sum output (A'B + AB') is 1 if either A is 1 and B is 0, or A is 0 and B is 1. The Carry output (AB) is 1 only if both A and B are 1.

Half adders are widely used in building more complex arithmetic circuits, data handling, address decoding, and even encoder/decoder circuits.

A logic circuit adding three single-bit binary numbers (A, B, and a carry-in) to produce a sum and a carry-out output.

Full adders are essential for implementing multi-bit binary addition, enabling digital circuits to perform arithmetic operations.

Combinational logic circuits can have any number of inputs (n) and outputs (m). These inputs come from external sources like registers, and outputs go to external destinations like other registers.

A combinational circuit that adds three binary inputs (A, B, and Carry In) and produces a sum and carry output.

The sum output of a full adder results from the XOR operation of the three inputs (A ⊕ B) ⊕ Cin, representing the binary sum of the three inputs.

The carry output of a full adder is determined by the OR operation of two terms: 1. The AND operation of input A and B (A.B), representing a carry from adding A and B. 2. The XOR operation of the previous two inputs (A ⊕ B), representing a potential carry from the addition of A, B and the previous carry (Cin).

A digital circuit that takes two binary inputs (A and B) and outputs the difference (Diff) between them and a 'borrow' bit.

The difference output of a half subtractor is calculated using the XOR gate, A'B+AB', where A and B are theminuend and subtrahend bits respectively.

The borrow output in a half subtractor is calculated as A'B, indicating whether a '1' was borrowed from the higher place value digit. The borrow bit is '1' when the input A (minuend) is '0' and the input B (subtrahend) is '1'.

Half Subtractor can be used in calculators to implement basic subtraction operations, allowing the subtraction of two binary digits at a time.

Half Subtractors are used in alarm systems, where detecting a possible intruder can be implemented by comparing an expected state with a measured state, using subtraction logic.

Used in complex systems like cars, security systems, and computers to perform binary calculations and comparisons.

A Half Subtractor outputs two bits: the difference between the input bits (Diff) and a borrow bit (Borrow) if the subtraction needs to borrow from the next digit.

A Full Subtractor takes three inputs: minuend (A), subtrahend (B), and borrow (C), representing the bits to be subtracted and any borrow from a previous stage.

The output of a Full Subtractor is the difference (Diff) between the input bits and a borrow (Borrow) bit, which is passed to the next stage if needed.

A table representing all possible combinations of input bits (A, B, and C) and their corresponding outputs (Diff and Borrow) for a Full Subtractor.

The borrow output (Borrow) in a Full Subtractor is determined by performing a logical AND operation between the inverted minuend (A) and the subtrahend (B).

A logical operation where the output is 1 only if one of the inputs is 1 and the other is 0. It's like flipping a switch: if one is on and the other is off, the output is on. If both are on or both are off, the output is off.

A value carried over from a previous digit in subtraction when the minuend is smaller than the subtrahend. It indicates that we've had to borrow a '1' from the next digit to perform the subtraction.

A digital circuit that compares two binary numbers, deciding whether one is greater than, equal to, or less than the other. It acts like a digital scale, weighing numbers.

A table that shows all possible combinations of input bits (A and B) and their corresponding output values for each possible comparison condition (A>B, A=B, A<B).

Mathematical formulas representing the conditions for A>B, A=B, and A<B. They define exactly when each output will be true based on the input values.