Why is division by 4096 not the same as ">>12"?

Projects Programming
8

Would it be more accurate to say that the direction of truncation rather than rounding versus truncation is the cause of the difference?

Here's a real MRE

void setup() {
  Serial.begin(115200);
  delay(1000);

  long q1, q2;

  long dividend = -251776000;

  q1  = dividend >> 12; 
  q2 = dividend / 4096L;

  float asFloat = dividend / 4096.0;

  Serial.print("        this as float = "); Serial.println(asFloat);

  Serial.print(q1); Serial.print("\t\t");
  Serial.print(q2);   Serial.print("\t\t");
}

void loop() {
  while(1);
}

a7