A given microprocessor has words for 1 byte What is the smal

A given microprocessor has words for 1 byte. What is the smallest and largest integer that can be represented in the following representations:

a. unsigned

b. Sign-mag

c. Ones complement

d. twos complement

e. unsigned packed decimal

f. signed packed decimal

Solution

a) unsigned- largest integer=11111111(255)

smallest integer-00000000(0)

b) signed magntiude:-largest integer=01111111(127)

smallest integer=11111111(-127)

c)Due to flip bits and add one here is no minus zero

+(27-1)= +127(128 numbers from +0 to +127)
-(27) = -128(128 numbers from -1 to -128-- we sart at -1 no -0)

d) Two\'s complement: largest = 01111111(+127)
smallest = 10000000(128)

e) unsigned packed decimal:-

largest :9=00001001

smallest:0=00000000

f) signed packed decimal:- In signed packed decimal letter C and D are used to represent positive and negative

C(1100) represent positive and D(1101) represent negative

Largest: 9=10011100

smallest: -9=10011101

A given microprocessor has words for 1 byte. What is the smallest and largest integer that can be represented in the following representations: a. unsigned b. S

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