# 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?
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? $2$ $3$ $4$ $5$
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? $2$ $4$ $5$ $6$
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? $2$ $3$ $4$ $5$
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.