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How many entries in the truth table are there for the circuit comparing two n bit numbers?
22n entries
The circuit, for comparing two n-Bit numbers, has 2n inputs & 22n entries in the truth table, for 2-Bit numbers, 4-inputs & 16-rows in the truth table, similarly, for 3-Bit numbers 6-inputs & 64-rows in the truth table [2].
What is magnitude comparator explain?
Magnitude Comparator are digital circuits which have two ports which accept and have three single bit outputs. It is used to comparing individual bits, multi-bit comparators can be constructed to compare whole BCD words to produce an output if one word is larger, equal to or less than the other.
What is the working principle of magnitude comparator?
A digital comparator or magnitude comparator is a hardware electronic device that takes two numbers as input in binary form and determines whether one number is greater than, less than or equal to the other number. Comparators are used in central processing units (CPUs) and microcontrollers (MCUs).
For what purpose the magnitude comparator is used?
What is a 4 bit comparator?
A 4 bit magnitude comparator is a hardware electronic device that takes two numbers of 4 binary bits each as input and determines whether one number is greater than, less than or equal to the other number. Let A and B are two binary numbers with 4 bits each.
What is the purpose of a 2 bit magnitude comparator?
ABSTRACT: 2-bit magnitude comparator design using different logic styles is proposed in this brief. Comparison is most basic arithmetic operation that determines if one number is greater than, equal to, or less than the other number. Comparator is most fundamental component that performs comparison operation.
What do you call a 4 bit comparator?
A comparator used to compare two binary numbers each of four bits is called a 4-bit magnitude comparator. 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.
How to write a 1 bit comparator equation?
A 1-bit comparator compares two single bits. Let’s apply a shortcut to find the equations for each of the cases. Normally, we can use a K-map. But this shortcut is efficient and handy when you understand it. For A>B, there is only one case when the output is high when A=1 and B=0. Let’s call this X. We can write the equation as follows
What is the purpose of a digital comparator?
A digital comparator’s purpose is to compare numbers and represent their relationship with each other. In this post, we will make different types of comparators using digital logic gates. We will begin by designing a simple 1-bit and 2-bit comparators. The circuit for a 4-bit comparator will get slightly more complex.