CSE Dept Engineering Topics List

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

A comparator is a special combinational circuit designed primarily to compare the relative magnitude of two binary numbers.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

There are different codes such as Binary-Coded-Decimal (BCD), Excess-3, Gray and so on. Many times it is required to convert one code to another.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

The most basic operation, is the addition of two binary digits.The simple addition consists of four possible elementary operations

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

The determination of number of available input variables and required output variables. Assigning letter symbols to input and output variables.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

First make sure that the given circuit is combinational circuit and not the sequential circuit. The combinational circuit has logic gates with no feedback path or memory elements.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

The NOR function is a dual of the NAND function. For this reason, the implementation procedures and rules for NOR-NOR logic are the duals of the corresponding procedures and rules developed for NAND-NAND logic.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

The implementation of a Boolean function with NAND-NAND logic requires that the function be simplified in the sum of product form.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

The map method of simplification is convenient as long as the number of variables does not exceed five or six. As the number of variables increases it is difficult to make judgements about which combinations form the minimum expression.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

Group should not include any cell containing a zero.The number of cells in a group must be a power of 2, such as 1, 2, 4, 8 or 16.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

A 5-variable K-map requires =32 cells, but adjacent cells are difficult to identify on a single 32-cell map. Therefore, two 16-cell K-maps are generally used.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

In practice, the designer should examine both the sum of products and product of sums reductions to ascertain which is more simplified.

Combinational Logic - Digital Principles and Computer Organization

Subject and UNIT: Digital Principles and Computer Organization: Unit I: Combinational Logic

A pair of 1s eliminates one variable, a quad of 1s eliminates two variables and an octet of 1s eliminates three variables.