4 Bit Comparator Logic Diagram

The kind of gates includes xor and nor.
4 bit comparator logic diagram. This video contains the description about 1. 3 20 april 2018 product data sheet 1 general description the 74hc85. We will compare each bit of the two 4 bit numbers and based on that comparison and the weight of their positions we will draft a truth table. 4 gates of xor are the same.
In a 4 bit comparator the condition of a b can be possible in the following four cases. The figure below shows the logic diagram of a 2 bit comparator using basic logic gates. Figure 2 5 optimized logic diagram for a 4 bit comparator seeing from the above diagram we can use 11 gates to implement the 4 bit comparator beside the inverters. Identity comparator an identity comparator is a digital comparator with only one output terminal for when a b either a b 1 high or a b 0.
5 gates of and have different number of inputs but the principle of layout is the same. 4 bit magnitude comparator rev. Addition subtraction shift operand one bit magnitude comparison plus 12 more it also implemented several logic operations. Exclusive or comparator and nand or nor plus 10 more here is the logic diagram.
The two 4 bit numbers are a a3 a2 a1 a0 and b3 b2 b1 b0 where a3 and b3 are the most. So does the nor gate. 74hct85 is a 4 bit magnitude comparator that can be expanded to almost any length. They perform comparison of two 4 bit binary bcd or other monotonic codes and present the three possible magnitude results at the outputs qa b qa b and qa b.
It consists of eight inputs each for two four bit numbers and three outputs to generate less than equal to and greater than between two binary numbers. The digital comparator accomplishes this using several logic gates that operate on the principles of boolean algebra. A comparator used to compare two binary numbers each of four bits is called a 4 bit magnitude comparator. The logic circuit of a 2 bit comparator how to design a 4 bit comparator.
It can be used to compare two four bit words. It used 75 gates. An equality comparator such as that illustrated in fig 4 3 1 is the simplest multi bit logic comparator and can be used for such circuits as electronic locks and security devices where a binary password consisting of multiple bits is input to the comparator to be compared with another preset word. The truth table for a 4 bit comparator would have 4 4 256 rows.
There are two main types of digital comparator available and these are.