ITEC1000 EXAM 2025 QUESTIONS AND
ANSWERS
The position of a digit which carries a weight to the power of the base - ANS Positional
system
The number of different digits, including 0, in the number system. Examples: binary, octal,
decimal, hexadecimal - ANS Base
The binary number system is base 2, using only bits 0 and 1. This base is the most efficient
number system that the computer can utilize due to its simplicity. (Base 2) - ANS Binary
The octal number system is base 8, using only digits 0 through 7. - ANS Octal
The number system in base 10 for representing numbers using combinations of the digits 0 - 9 -
ANS Decimal
A base-16 number system that uses sixteen distinct symbols 0-9 and A-F to represent numbers
from 10 to 15. - ANS Hexadecimal
1. Decompose the number to the powers of its base
2. Convert each power of the base to base 10
3. Evaluate the number (do the math) - ANS Conversion to base 10
1. Divide the decimal number by 2 until the coefficient is 0
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, 2. Record the remainders from bottom up (MSD-LSD) - ANS Conversion to base 2
0. Convert the binary numbers to a decimal number
1. Divide decimal number by 16 until coefficient is 0
2. Record the remainders from bottom up
3. Change the remainders to hexadecimal form - ANS Conversion to base 16
- shifting left a number in any base one digit multiplies its value by the base once
- shifting right a number in any base one digit divides its value by the base once - ANS Shift
property
A form of representing numbers using a sign (+/-), and, if necessary, a decimal point
(Has limitations for computing): 'SUBTRACT' cannot utilize the binary 'ADD' hardware
- Complex and hard to implement in the hardware
- Result of operation depends on the size or order of numbers being subtracted
- Must test for 2 values of 0 (+/-) - ANS Sign and magnitude
Value used as a basis for the complementary operation is diminished by one from the radix or
base
- 9's complement (base 10 diminished)
- 1's complement (base 2 diminished) - ANS Diminished radix complement
- 10's complement
- 2's complement - ANS Radix complement
- Scientific notation in computers
- Allows very large and small numbers using exponents
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ANSWERS
The position of a digit which carries a weight to the power of the base - ANS Positional
system
The number of different digits, including 0, in the number system. Examples: binary, octal,
decimal, hexadecimal - ANS Base
The binary number system is base 2, using only bits 0 and 1. This base is the most efficient
number system that the computer can utilize due to its simplicity. (Base 2) - ANS Binary
The octal number system is base 8, using only digits 0 through 7. - ANS Octal
The number system in base 10 for representing numbers using combinations of the digits 0 - 9 -
ANS Decimal
A base-16 number system that uses sixteen distinct symbols 0-9 and A-F to represent numbers
from 10 to 15. - ANS Hexadecimal
1. Decompose the number to the powers of its base
2. Convert each power of the base to base 10
3. Evaluate the number (do the math) - ANS Conversion to base 10
1. Divide the decimal number by 2 until the coefficient is 0
1 Copyright ©2025 SIRJOEL ALL RIGHTS RESERVED
, 2. Record the remainders from bottom up (MSD-LSD) - ANS Conversion to base 2
0. Convert the binary numbers to a decimal number
1. Divide decimal number by 16 until coefficient is 0
2. Record the remainders from bottom up
3. Change the remainders to hexadecimal form - ANS Conversion to base 16
- shifting left a number in any base one digit multiplies its value by the base once
- shifting right a number in any base one digit divides its value by the base once - ANS Shift
property
A form of representing numbers using a sign (+/-), and, if necessary, a decimal point
(Has limitations for computing): 'SUBTRACT' cannot utilize the binary 'ADD' hardware
- Complex and hard to implement in the hardware
- Result of operation depends on the size or order of numbers being subtracted
- Must test for 2 values of 0 (+/-) - ANS Sign and magnitude
Value used as a basis for the complementary operation is diminished by one from the radix or
base
- 9's complement (base 10 diminished)
- 1's complement (base 2 diminished) - ANS Diminished radix complement
- 10's complement
- 2's complement - ANS Radix complement
- Scientific notation in computers
- Allows very large and small numbers using exponents
2 Copyright ©2025 SIRJOEL ALL RIGHTS RESERVED
