9th & 10th Class Computer Science Formulas
All 9th & 10th Class Computer Science formulas, chapter by chapter, with search and a printable layout.
Number Systems (15)
| Formula | Expression |
|---|---|
| Binary to Decimal | Decimal = Σ(digit × 2^position), position starting at 0 from right |
| Decimal to Binary | Repeatedly divide decimal number by 2, read remainders bottom to top |
| Binary to Octal | Group binary digits in 3s from right, convert each group to octal digit |
| Binary to Hexadecimal | Group binary digits in 4s from right, convert each group to hex digit |
| Octal to Decimal | Decimal = Σ(digit × 8^position) |
| Hexadecimal to Decimal | Decimal = Σ(digit × 16^position) |
| 1's Complement | Flip every bit (0→1, 1→0) |
| 2's Complement | 2's Complement = 1's Complement + 1 |
| Signed Binary Range (n bits) | Range = −2^(n−1) to 2^(n−1) − 1 |
| Unsigned Binary Range (n bits) | Range = 0 to 2ⁿ − 1 |
| BCD (Binary Coded Decimal) | Each decimal digit represented by its own 4-bit binary code |
| ASCII Value Range | Standard ASCII = 0 to 127 (7-bit) |
| Number of Addressable Bytes (n address lines) | Bytes = 2ⁿ |
| Floating Point Bias (IEEE 754 Single) | Bias = 127, Exponent stored = Actual exponent + 127 |
| IEEE 754 Single Precision Value | Value = (−1)^S × 1.M × 2^(E−127) |
Boolean Algebra & Logic Gates (13)
| Formula | Expression |
|---|---|
| AND Gate | Y = A · B (Y = 1 only if A = 1 and B = 1) |
| OR Gate | Y = A + B (Y = 1 if A = 1 or B = 1) |
| NOT Gate | Y = A' (inverts input) |
| NAND Gate | Y = (A · B)' |
| NOR Gate | Y = (A + B)' |
| XOR Gate | Y = A ⊕ B (Y = 1 only when A ≠ B) |
| XNOR Gate | Y = (A ⊕ B)′ (Y = 1 only when A = B) |
| De Morgan's First Theorem | (A · B)' = A' + B' |
| De Morgan's Second Theorem | (A + B)' = A' · B' |
| Idempotent Law | A · A = A, A + A = A |
| Complement Law | A · A' = 0, A + A' = 1 |
| Absorption Law | A + (A · B) = A, A · (A + B) = A |
| Distributive Law | A · (B + C) = (A·B) + (A·C) |
IT Fundamentals (6)
| Formula | Expression |
|---|---|
| Green Computing (concept) | designing and using computers and IT resources in an energy-efficient, environmentally responsible way |
| Open Source vs Proprietary Software (concept) | open source allows free access and modification of source code; proprietary software restricts it under license |
| System Software vs Application Software (concept) | system software manages hardware and runs the computer (e.g. OS); application software performs user tasks |
| Compiler Error vs Runtime Error (concept) | a compiler error is caught before the program runs; a runtime error occurs while the program is executing |
| Digital Divide (concept) | the gap between those who have easy access to computers/internet and those who do not |
| Data vs Information (concept) | data is raw, unprocessed facts; information is data that has been processed into a meaningful form |
More class-wise formulas
Formulas are for revision. Always follow the notation and rounding used in your own textbook and board papers.
FAQ
How many 9th & 10th Class Computer Science formulas are on this page?
34 formulas in 3 chapters.
Can I print the 9th & 10th Class Computer Science formulas?
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Do the formulas follow my board syllabus?
They follow the usual school and intermediate syllabus, but chapter lists differ between boards. Check your own syllabus for what is included in your exam.