Digital Fundamentals Chapter 6

A digital circuit that performs binary addition on two bits.

Two binary inputs (A and B) for performing binary addition.

Two binary outputs: Sum (S) and Carry-out (Cout).

Digital circuit adding three bits.

Three binary inputs (A, B, and Cin).

Two binary Outputs(Sum (S) and Carry-out (Cout)).

A table showing possible input combinations and their corresponding outputs.

Addition operation using the binary number system (base-2).

A digital circuit that performs binary addition on three bits (two input bits and a carry-in bit).

Three bits: A, B, and Cin (carry-in).

Two bits: Sum (S) and Cout (carry-out).

Result of the binary addition of the three input bits.

Indicates any carry generated during the binary addition.

A digital circuit that performs binary addition on two bits.

Addition operation using the binary number system (base-2).

1, 0, 1 as A, B and Cin, produces 0 as Sum and 1 as Carry-out

A digital circuit that performs addition of three binary bits (two operands and a carry-in).

Three binary inputs (A, B, and Cin), representing the two operands and the previous carry.

Two binary outputs: Sum (S) and Carry-out (Cout), representing the result of the addition.

A digital circuit that adds multiple-bit binary numbers using multiple full adders.

The delay in the output carry of a parallel adder as it propagates through each full adder.

A parallel adder that performs addition on 4-bit binary numbers using 4 full adders.

A graphical representation of a 4-bit parallel adder, showing its inputs, outputs, and internal connections.

Addition of two or more binary numbers.

A technique used in 4-bit adders to speed up carry calculation by predicting carry-outs ahead of time.

A digital circuit that performs binary addition on four bits, featuring a carry in and carry out.

The delay in calculating the carry-out signal of an adder.

A signal indicating a carry is generated in a specific bit.

A signal indicating that carry is passed from the previous bit.

The final carry generated by the addition operation in an adder.

A specific example of a 4-bit adder implementing look-ahead carry.

Carry into the next bit position determined by the generate and propagate functions from the current bit.

A type of adder that calculates carry bits in parallel, improving speed compared to ripple-carry adders.

Internal values used in carry look-ahead adders to compute carry bits independently.

Arithmetic circuit adding two 4-bit binary numbers.

Circuit that subtracts two binary numbers.

Error occurring when the result of an arithmetic operation is too large to fit in the available number of bits.

Overflow in an arithmetic operation on unsigned binary numbers, detected by extra carry bit.

Overflow in an arithmetic operation on signed binary numbers, not indicated by extra carry.

Number of bits used to represent a binary number.

An overflow in addition occurs when the result of adding two numbers exceeds the capacity of the data type used to store the result.

Binary-Coded Decimal addition where each decimal digit is represented by a 4-bit binary code, and the sum must be less than or equal to 9.

When the result of adding BCD digits exceeds 9, a correction (often adding 6) is needed to get the valid BCD representation.

A decimal parallel adder uses multiple BCD adder stages to add multiple decimal digits.

The intermediate results during binary multiplication are called partial products

For binary multiplication (J multiplier bits and K multiplicand bits), you will need (J * K) AND gates for partial products.

Full adders or similar adders are necessary to produce the final sum of the partial products generated in binary multiplication.

The stages consist of AND gates to compute partial products, and adders that combine partial products to create the final binary result of the multiplication.