a. What is the range of unsigned integer numbers that can be represented with 4
ID: 3889550 • Letter: A
Question
a. What is the range of unsigned integer numbers that can be represented with
4 bits
8 bits
32 bits
n bits
b. What is the range of numbers in signed magnitude format that can be represented with
4 bits
8 bits
32 bits
n bits
c. What is the range of integers in signed 2’s complement that can be represented with
4 bits
8 bits
32 bits
n bits
d. What is the range of decimal floating point numbers (IEEE 754 representation) that can be represented with
32 bits
64 bits
e. Explain why the bias for the exponent in the IEEE754 has the value: 2k-1 – 1 ?
With understandable explanations please, Thank you so much.
Explanation / Answer
a)What is the range of unsigned integer numbers that can be represented with
4 bit
0 -( 24-1)
0 - 15
8 bit
0 - 28
32 bit
0 - 232
n bit
0 - 2 n
c) What is the range of numbers in signed 2's Complement format that can be represented with
- 2n - 1 and + (2n - 1 - 1).
4 bit
-8 to +7
8 bit
-128 to +127
32 bit
231- (2 31-1)
n bit
2n-1 - (2n-1-1)
d.. What is the range of decimal floating point numbers (IEEE 754 representation) that can be represented with
32 bit
23 bit integer part and 8 bit decimal part and 1 sign bit
52 bit integer part and 11 bit exponent part and 1 sign bit
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