Complete the following table by converting the integers in d

Complete the following table by converting the integers in decimal to 5- bit signed numbers in binary. Perform the following conversions:(10011)_2 in 5-bit sign-and-magnitude to 5-bit 1\'s complement (10011)_2 in 5-bit sign-and-magnitude to 5-bit 2\'s complement (11000)_2 in 5-bit 1\'s complement to 5-bit sign-and-magnitude (11000)_2 5-bit 1\'s complement to 5-bit 2\'s complement (101110)_2 in 6-bit 2\'s complement to 6-bit sign-and-magnitude (101110)_2 in 6-bit 2\'s complement to 6-bit 1 \'s complement Negate the following 6-bit 2\'s complement binary numbers: (001010)_2 (110011)_2 (100100)_2 (010001)_2 Consider 4-bit 2\'s complement representation for signed numbers. What is the largest integer in decimal that can be represented? What is the smallest integer in decimal that can be represented? For n-bit 2\'s complement representation, what are the largest and smallest integers in decimal that can be represented?

Solution

P2)

a)-15

the unsigned binary value of 15=01111

sign and magnitude= (11111)₂

1\'s complement=(10000)₂

2\'s complemnt=(10001)₂

b)

-15

the unsigned binary value of 10=01010

sign and magnitude= (11010)₂

1\'s complement=(10101)₂

2\'s complemnt=(10110)₂

c)-1

the unsigned binary value of 1=00001

sign and magnitude= (10001)₂

1\'s complement=(11110)₂

2\'s complemnt=(11111)₂

_d)0

the unsigned binary value of 0=00000

sign and magnitude= (00000)₂

1\'s complement=(00000)₂

2\'s complemnt=(00000)₂

e)7

the unsigned binary value of 15=00111

sign and magnitude= (00111)₂

1\'s complement=(00111)₂

2\'s complemnt=(00111)₂

p3)

a)10011-->11100(1\'scomplemnt)

b)10011-->11101(2\'scomplement)

c)11000-->10111(sign magnitude)

d)11000-->11001(2\'scomplement)

e)101110-->110010(sign magnitude)

f)101110-->101101(1\'s complement)