Number Systems Comprehensive Test
Name: _________________________ Date: _______________ Score: ______/150
Instructions: Solve each problem completely. Show all work and conversion steps.
Box your final answers. Use proper notation for different number systems.
Part I: Mixed Base Conversions (25 points)
Problem 1 (15 points)
Convert between different number systems:
a) 347โ = ?โโ
b) 1A5โโ = ?โโ
c) 193โโ = ?โโ
d) 87โโ = ?โ
e) 2Bโโ = ?โ
Problem 2 (10 points)
Perform the following conversions showing all steps:
a) 101101โ = ?โ = ?โโ
b) A7โโ = ?โ = ?โ
c) 456โ = ?โโ = ?โ
d) Find the decimal equivalent of 777โ and express it in hexadecimal
Part II: Decimal to Other Bases Conversion (30 points)
Problem 3 (8 points)
Convert the following decimal numbers to binary:
a) 25โโ = ?โ
b) 63โโ = ?โ
c) 128โโ = ?โ
d) 255โโ = ?โ
Problem 4 (8 points)
