Repetition with reasons, not memorization
Worked exercise library
2,686 fully worked problems across 10 categories. Every answer includes an explicit sequence of steps, from power-of-two place values through carries, overflow, memory addressing and loops.
How to use this collection
Choose a subject, attempt one question without peeking, and only then expand its full trace. These pages are an appendix, not required reading for the main 72-lesson journey.
Set 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 6
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 7
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 8
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 9
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Reading binarySet 10
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 6
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 7
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 8
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 9
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Writing binarySet 10
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 6
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 7
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Signed eight-bit valuesSet 8
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 6
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 7
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 8
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 9
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 10
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 11
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 12
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 13
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit additionSet 14
4 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 6
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 7
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 8
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 9
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 10
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 11
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 12
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 13
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Eight-bit subtractionSet 14
4 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 6
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 7
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 8
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Bitwise logicSet 9
14 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 6
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 7
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 8
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 9
32 step-by-step problems with complete hidden solutions.
Practice now → (online) ALU and condition flagsSet 10
12 step-by-step problems with complete hidden solutions.
Practice now → (online) RAM addressingSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) RAM addressingSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) RAM addressingSet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) RAM addressingSet 4
32 step-by-step problems with complete hidden solutions.
Practice now → (online) RAM addressingSet 5
32 step-by-step problems with complete hidden solutions.
Practice now → (online) RAM addressingSet 6
20 step-by-step problems with complete hidden solutions.
Practice now → (online) Branch and loop tracingSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Branch and loop tracingSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Branch and loop tracingSet 3
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Branch and loop tracingSet 4
24 step-by-step problems with complete hidden solutions.
Practice now → (online) Fibonacci state tracesSet 1
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Fibonacci state tracesSet 2
32 step-by-step problems with complete hidden solutions.
Practice now → (online) Fibonacci state tracesSet 3
16 step-by-step problems with complete hidden solutions.
Practice now → (online)