# Recent questions tagged min-no-gates

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A ⊕ B can be represented using 4 NAND gates as well as 5 NAND gates. Is there any predefined procedure to find the minimum number of NAND gate required by an expression?
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0 answers 12 views
What is the minimum number of gates required to implement the Boolean function $\text{(AB+C)}$ if we have to use only $2\text{-input NOR}$ gates? $2$ $3$ $4$ $5$
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1 answer 16 views
What is the minimum number of $\text{NAND}$ gates required to implement a $2\text{-input EXCLUSIVE-OR}$ function without using any other logic gate? $2$ $4$ $5$ $6$
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0 answers 13 views
A circuit outputs a digit in the form of $4$ bits. $0$ is represented by $0000$, $1$ by $0001$, …, $9$ by $1001$. A combinational circuit is to be designed which takes these $4$ bits as input and outputs $1$ if the digit $\geq$ $5$, and $0$ otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required? $2$ $3$ $4$ $5$
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Design a logic circuit to convert a single digit BCD number to the number modulo six as follows (Do not detect illegal input): Write the truth table for all bits. Label the input bits $I_1, I_2, \ldots$ with $I_1$ as the least significant bit. Label the output bits ... truth. Draw one circuit for each output bit using, altogether, two two-input AND gates, one two-input OR gate and two NOT gates.
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