Question

maximum number in decimal can be find out by (a) 2" (b) 2" -1 (c) 2"+1 (d) 2"/2​

Answer 1

Answer:

4"2=6

Explanation:

2"-2=0

2+1=4

2/2=4

Answer 2

maximum number in decimal can be find out by  2ⁿ-1

Explanation:

n = number of bits

Maximum number in Decimal  is 2ⁿ - 1

Example  n = 1

1 bit

Largest number  1    in binary = 1 in decimal  = 2¹ - 1

2 bit

Largest number  11    in binary = 3 in decimal  = 2² - 1

3 bit

Largest number  111    in binary = 7 in decimal  = 2³ - 1

4 bit

Largest number  1111    in binary = 15  in decimal  = 2⁴ - 1

Hence when n bit

1111 n time  in binary = 2ⁿ - 1 in decimal

Total numbers can be represented are 2ⁿ   ( from 0 to  2ⁿ - 1)

maximum number in decimal system can be find out by  2ⁿ - 1

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