Complete the following table by converting the integers in decimal to 5- bit sig
ID: 1993462 • Letter: C
Question
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?Explanation / Answer
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)