American Computer Science League (Contest 1)

Computer Number Systems

How many 1’s are there in the binary representation of 202110 ?

• A. 6

• B. 7

• C. 8

• D. 9

• E. 10

Computer Number Systems

Evaluate and express the answer in hexadecimal the numbers are in base 8 : 72126 - 54127

• A. 1BFF

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• B. 1AEF

• C. 1BFE

• D. 1AFF

• E. BFF

Q.3

• A. -6

• B. -4

• C. 2

• D. 4

• E. 6

Q.4

• A. 9

• B. 11

• C. 13

• D. 15

• E. 1

Computer Number Systems

How many 6’s are there in the octal representation of the decimal numbers from 675 to 700, inclusive?

• A. 9

• B. 10

• C. 11

• D. 12

• E. 13

Computer Number Systems

Evaluate and express in base 16 if both numbers are hexadecimal.

13 * 74F

• A. 8BDD

  ​​​​​

• B. 8ADD

• C. 7BDE

• D. 8AEC

• E. 8ACD

Q.7

• A. 9

• B. 49

• C. 56

• D. 76

• E. 80

Q.8

• A. 139

• B. 142

• C. 143

• D. 144

• E. 148