Question: 1. Number base conversions (20 Points) a) 010100) ( b) (351.5)1 c (46 (?)2 d) (ABC.D6 e 1011101001.1001) ( 2. Signed Binary Numbers. (SM: Signed-Magnitude,
1. Number base conversions (20 Points) a) 010100) ( b) (351.5)1 c (46 (?)2 d) (ABC.D6 e 1011101001.1001) ( 2. Signed Binary Numbers. (SM: Signed-Magnitude, Two's: 2's Complement) (30 Points) a) (SM) +23 b) (Two's +23 c) (SM) 23 d) (Two's 23 e) What is the biggest positive number in two's complement using 16 bits word? f) What is the smallest negative number in two's complement using 16 bits word? 3. Fractional Binary Numbers (20 Points) a) Show the (2.25)o in Fixed-Point Representation using 8,3> format b) Show the (2.25)o in Floating-Point Representation using following 8 bit format: b) 1 bit Sign c4 bits biased exponent d) 3 bits mantissa a) Show the (13.125)1o in Fixed-Point Representation using format b) Show the (-3.5)o in Floating-Point Representation using following 8 bit format e) 1 bit Sign 4 bits biased exponent g)3 bits mantissa
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