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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.

Respuesta :

Answer:

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

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