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#define Precision  ( 16 >> 1 ) 

uint16 Function (uint16 Number)
{
uint16 Result;
uint16 Mask;
uint16 Mask2;
uint16 Test;
uint16 Power;
	
Result = 0;
Result2 = 0;
Mask = 1 << (Precision - 1 );
Mask2 = 1L << ( ( Precision - 1 ) << 1 );
	
for (Power = Precision; Power > 0; --Power) {
	Test = Result2 + Mask2 + ((uint16)Result << Power);
	if (Test <= Number) {
      	Result2 = Test;
	Result |= Mask;
    	}
	Mask >>= 1;
	Mask2 >>= 2;
	}

	return Result;
}

Problem 2—Similarly, what does the following C code compute? Assume that uint32 is an unsigned 32-bit integer type on this platform. Again, analyze its operation in mathematical terms.

uint32 func (uint32 n)
{
   uint32 result = 0, bit, trial;
   bit = (n >= 0x10000) ? 1<<30 : 1<<14;
   do {
   trial = result + bit;
if (n >= trial) {
  n -= trial;
  result = trial + bit;
 	}
	result >>= 1;
	bit >>= 2;
	} while (bit);
	return result;
}

Answer

Problem 3—What is the signal format used in a digital telephony T1 type of circuit?

Answer

Problem 4—What is the analog bandwidth of a T1 signal? 

Answer

Problem 5—An electric solenoid is being driven in a conventional manner, as shown below, but the solenoid is being used in a mechanical brake and the brake is releasing too slowly when the control signal is turned off. What can be done about this?

Answer

Problem 6—Sometimes a solenoid can function well with a holding current that’s less than (say, half of) its full current rating. How can you take advantage of this?

Answer

Problem 7—It’s common knowledge that you can divide a number by a power of two by doing a simple right shift of the number. What do the following relationships tell you? 

Answer