Observe the following pairs of binary numbers:
00011111 and 00100000
00111111 and 01000000
01111111 and 10000000

Describe the general relationships between these pairs of numbers in terms of:
Decimal values.
Powers of 2.
Number of bits required.
Other relationships...
These descriptions of relationships should hold for all of these pairs of numbers.

The general relationship between each pair in terms of decimal values, powers of 2 and number of bit required are shown in form of table below:

Binary No.        Decimal Value    Power of 2    No. of Bits(n)        Relation  Ship

a=00011111                 31                         2⁵-1            n=5                   b=a+1

b=00100000             32                        2⁵               n+1=6

a=00111111                  63                       2⁶-1              n=6                   b=a+1

b=01000000             64                       2⁶                 n=6+1

a=01111111                   127                      2⁷-1               n=7                    b=a+1

b=10000000             128                      2⁷                 n+1=8

explanation:

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unlike the threaded fasteners which are used to clamp the machine members, power screws are used to transmit power. common applications of power screws are: screw jacks: to lift weight. lead screw of lathe: for axial movement of tool and its precise positioning.