1a) 0xCAFE can be written in decimal (base 10) as:
1b)
The decimal number 94 can be expressed (in 8 bits)
Using signed magnitude representation as:
Using one's complement representation as:
Using two's complement representation as:
Using excessM representation (with the appropriate value of M) as:
1c)
Using the simple floating point model (1bit sign, 5bit biased exponent, and 8bit significand), the number 0.125 (decimal) can be expressed as:
(Do not use spaces or any English text. Provide only the bit pattern.)
1d)
Which of the following (select all that apply) have occurred in this computation using 2's complement representation with 8bit binary: 32 (decimal)  6 (decimal):
Options:





1 a)
CAFE)₁₆ = (12 × 16³) + (10 × 16²) + (15 × 16¹) + (14 × 16⁰) = (51966)₁₀
b)
I)01011110
ii)10100001
iii)10100001+1=10100010
1 c) 1 01100 00000000
Explanation:
0.125_{(10)} =
0.001_{(2)} =
0.001_{(2)} × 2^{0} =
1_{(2)} × 2^{3}
Sign: 1 (a negative number)
Exponent (unadjusted): 3
Mantissa (not normalized):
1
Adjust the exponent.
Use the 8 bit excess/bias notation:
Exponent (adjusted) =
Exponent (unadjusted) + 2^{(51)}  1 =
3 + 2^{(51)}  1 =
(3 + 15)_{(10)} =
12_{(10)}
_{=01100}
Mantissa (normalized) =
1 000 0000 =
000 0000
Answer;
1 01100 00000000
1d)
32 6
32+(6)
32=00100000
6=1111 1010
32+(6)=0010 0000 + 1111 1010=1 0001 1010
Discard carry answer: 0001 1010
1) carry
Get Answers For Free
Most questions answered within 1 hours.