maximum number in decimal can be find out by (a) 2" (b) 2" -1 (c) 2"+1 (d) 2"/2
Answers
Answer:
4"2=6
Explanation:
2"-2=0
2+1=4
2/2=4
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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