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template Num2Bits(n) {
signal input in;
signal output out[n];
var lc1=0;
for (var i = 0; i<n; i++) {
out[i] <-- (in >> i) & 1;
out[i] * (out[i] -1 ) === 0;
lc1 += out[i] * 2**i;
}
lc1 === in;
}
template Bits2Num(n) {
signal input in[n];
signal output out;
var lc1=0;
for (var i = 0; i<n; i++) {
lc1 += in[i] * 2**i;
}
lc1 ==> out;
}