DIGITAL DATA REPRESENTATION IN
EECS1520 EXAM QUESTIONS WITH
100% CORRECT ANSWERS | LATEST
VERSION 2025/2026.
Positional representation - ANS A method of representing numbers using a base system,
such as decimal, binary, octal, or hexadecimal.
Decimal (base 10) - ANS A number system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Binary (base 2) - ANS A number system that uses two digits: 0 and 1.
Octal (base 8) - ANS A number system that uses eight digits: 0, 1, 2, 3, 4, 5, 6, 7.
Hexadecimal (base 16) - ANS A number system that uses sixteen digits: 0, 1, 2, 3, 4, 5, 6, 7, 8,
9, A, B, C, D, E, F.
Conversion between different bases - ANS The process of changing a number from one base
to another, such as binary to decimal or decimal to binary.
Signed binary representation - 2's complement - ANS A method for representing signed
integers in binary, allowing for both positive and negative values.
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, Natural numbers - ANS Zero and any number obtained by repeatedly adding one to it.
Negative whole numbers - ANS Values less than 0, indicated with a '−' sign before the left-
most digit.
Integers - ANS Values that are either a natural number or a negative whole number.
Rational Numbers - ANS Values that are integers or the quotient of two integers.
Irrational numbers - ANS Numbers that cannot be expressed as a fraction of two integers,
such as π, e, √2, √5.
Positional Notation - ANS A method of representing numbers where the position of a digit
affects its value.
Magnitude of a number - ANS Determined by multiplying the magnitude of the column by
the digit in the column and summing the products.
Unsigned integer - ANS A whole number that does not have a sign, meaning it cannot be
negative.
n-digit unsigned integer in base b - ANS A number represented in base b with n digits.
Value of a positional number - ANS Calculated as dn−1×bn−1 + dn−2×bn−2 + ... + di×bi ...
where di is the digit in the ith position.
Base - ANS The number of unique digits, including zero, used to represent numbers in a
positional numeral system.
2 | Page @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
EECS1520 EXAM QUESTIONS WITH
100% CORRECT ANSWERS | LATEST
VERSION 2025/2026.
Positional representation - ANS A method of representing numbers using a base system,
such as decimal, binary, octal, or hexadecimal.
Decimal (base 10) - ANS A number system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Binary (base 2) - ANS A number system that uses two digits: 0 and 1.
Octal (base 8) - ANS A number system that uses eight digits: 0, 1, 2, 3, 4, 5, 6, 7.
Hexadecimal (base 16) - ANS A number system that uses sixteen digits: 0, 1, 2, 3, 4, 5, 6, 7, 8,
9, A, B, C, D, E, F.
Conversion between different bases - ANS The process of changing a number from one base
to another, such as binary to decimal or decimal to binary.
Signed binary representation - 2's complement - ANS A method for representing signed
integers in binary, allowing for both positive and negative values.
1 | Page @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
, Natural numbers - ANS Zero and any number obtained by repeatedly adding one to it.
Negative whole numbers - ANS Values less than 0, indicated with a '−' sign before the left-
most digit.
Integers - ANS Values that are either a natural number or a negative whole number.
Rational Numbers - ANS Values that are integers or the quotient of two integers.
Irrational numbers - ANS Numbers that cannot be expressed as a fraction of two integers,
such as π, e, √2, √5.
Positional Notation - ANS A method of representing numbers where the position of a digit
affects its value.
Magnitude of a number - ANS Determined by multiplying the magnitude of the column by
the digit in the column and summing the products.
Unsigned integer - ANS A whole number that does not have a sign, meaning it cannot be
negative.
n-digit unsigned integer in base b - ANS A number represented in base b with n digits.
Value of a positional number - ANS Calculated as dn−1×bn−1 + dn−2×bn−2 + ... + di×bi ...
where di is the digit in the ith position.
Base - ANS The number of unique digits, including zero, used to represent numbers in a
positional numeral system.
2 | Page @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
