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DRDO CSE 2022 Paper 1 | Question: 6 (b)
Let $\oplus$ sign denote bitwise addition modulo $2$. Let $n$ and $m$ be integers. Consider the set of $m$ equations on $n$ variables as follows. \[\begin{array}{l} a_{1,1} x_{1} \oplus a_{1,2} x_{2} \oplus \ldots \ ... $\{0,1\}$. What is the expected number of equations that can be satisfied if $x_i$'s are picked uniformly and independently at random.

admin asked in Digital Logic Dec 15, 2022

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DRDO CSE 2022 Paper 1 | Question: 6 (a)
Let $\oplus$ sign denote bitwise addition modulo $2$. Let $n$ and $m$ be integers. Consider the set of $m$ equations on $n$ variables as follows. \[\begin{array}{l} a_{1,1} x_{1} \oplus a_{1,2} x_{2} \oplus \ldots \oplus a_{1, n} x_{n}=b_{ ... $a_{1, n} x_{n}=b_{1}$ if all $x_{i}$'s are picked uniformly and independently at random from $\{0,1\}$.

admin asked in Digital Logic Dec 15, 2022

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