Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Circuit for comparing 2 n-bit numbers has ___...
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Circuit for comparing 2 n-bit numbers has ____ entries in truth table
- a)2n
- b)n
- c)22n
- d)2n
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Circuit for comparing 2 n-bit numbers has ____ entries in truth tablea...
Introduction:
A circuit for comparing two n-bit numbers is used to determine the relationship between the two numbers. It compares each corresponding bit of the two numbers and generates an output based on the result of the comparison. The truth table of this circuit represents all possible input combinations and their corresponding outputs.
Explanation:
To determine the number of entries in the truth table for a circuit comparing two n-bit numbers, we need to consider the total number of possible input combinations.
Number of Bits:
Let's assume that we have two n-bit numbers, A and B. Each number has n bits, where the most significant bit (MSB) is bit n-1 and the least significant bit (LSB) is bit 0.
Number of Input Combinations:
For each bit, there are two possible values, 0 or 1. Therefore, the total number of possible input combinations is given by 2^n for both numbers. As there are two numbers being compared, the total number of input combinations for the truth table can be calculated as (2^n) x (2^n).
Number of Entries in Truth Table:
The truth table consists of all possible input combinations and their corresponding outputs. Each input combination represents a row in the truth table, and the number of rows is equal to the number of entries in the truth table.
Since there are (2^n) x (2^n) possible input combinations, the truth table for the circuit comparing two n-bit numbers will have (2^n) x (2^n) entries.
Answer:
Therefore, the correct answer is option 'C', which states that the circuit for comparing two n-bit numbers has (2^n) x (2^n) entries in the truth table.
Summary:
- A circuit for comparing two n-bit numbers is used to determine the relationship between the two numbers.
- The truth table of this circuit represents all possible input combinations and their corresponding outputs.
- The number of entries in the truth table is equal to the total number of possible input combinations.
- For two n-bit numbers, the total number of input combinations is given by (2^n) x (2^n).
- Hence, the circuit for comparing two n-bit numbers has (2^n) x (2^n) entries in the truth table.
A circuit for comparing two n-bit numbers is used to determine the relationship between the two numbers. It compares each corresponding bit of the two numbers and generates an output based on the result of the comparison. The truth table of this circuit represents all possible input combinations and their corresponding outputs.
Explanation:
To determine the number of entries in the truth table for a circuit comparing two n-bit numbers, we need to consider the total number of possible input combinations.
Number of Bits:
Let's assume that we have two n-bit numbers, A and B. Each number has n bits, where the most significant bit (MSB) is bit n-1 and the least significant bit (LSB) is bit 0.
Number of Input Combinations:
For each bit, there are two possible values, 0 or 1. Therefore, the total number of possible input combinations is given by 2^n for both numbers. As there are two numbers being compared, the total number of input combinations for the truth table can be calculated as (2^n) x (2^n).
Number of Entries in Truth Table:
The truth table consists of all possible input combinations and their corresponding outputs. Each input combination represents a row in the truth table, and the number of rows is equal to the number of entries in the truth table.
Since there are (2^n) x (2^n) possible input combinations, the truth table for the circuit comparing two n-bit numbers will have (2^n) x (2^n) entries.
Answer:
Therefore, the correct answer is option 'C', which states that the circuit for comparing two n-bit numbers has (2^n) x (2^n) entries in the truth table.
Summary:
- A circuit for comparing two n-bit numbers is used to determine the relationship between the two numbers.
- The truth table of this circuit represents all possible input combinations and their corresponding outputs.
- The number of entries in the truth table is equal to the total number of possible input combinations.
- For two n-bit numbers, the total number of input combinations is given by (2^n) x (2^n).
- Hence, the circuit for comparing two n-bit numbers has (2^n) x (2^n) entries in the truth table.
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Community Answer
Circuit for comparing 2 n-bit numbers has ____ entries in truth tablea...
In an n-bit, compare the n columns of bits in one binary number (let it be A) and n columns of bits of another number (let it be B).
For all possible values of bits in A and B truth table is taken for A > B, A < B and A = B.
So there are 2n inputs in the comparator.
For 2n inputs total possible combinations are 22n
So total number of entries is 22n.
For all possible values of bits in A and B truth table is taken for A > B, A < B and A = B.
So there are 2n inputs in the comparator.
For 2n inputs total possible combinations are 22n
So total number of entries is 22n.
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