Compute the value of (four decimal places):
A).0045
B).5449
C).4459
D).0445
E)0.044946

Question

Compute the value of (four decimal places): 
A).0045 
B).5449 
C).4459 
D).0445 
E)0.044946

Quizplus · Accepted Answer

The given value is a hexadecimal number. The first 16 digits (11eb129f_8ff8_815d_935a_7fa8) represent the mantissa and the last 4 digits (5fd8_0460) represent the exponent in hexadecimal notation. 
To convert the mantissa to decimal, we first convert each group of 4 hexadecimal digits to its decimal equivalent:

11eb = 4595
129f = 4751
8ff8 = 36856
815d = 33181
935a = 37786
7fa8 = 32616

So the mantissa is 0.459547513685633177863265 depending from where we round the decimal point.

The exponent in hexadecimal is 0460 which is equivalent to 1120 in decimal. To get the final value, we need to multiply the mantissa by 2^1120.

0.4595... * 2^1120 = 0.0449...

Rounding to four decimal places, we get the final answer as 0.0449, which is closest to option E) 0.044946.

Compute the Value of (Four Decimal Places)