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GCSE Computer Science ยท Worksheet

Binary and Hexadecimal Worksheet

Structured practice covering binary conversion, binary addition, overflow, and hexadecimal for OCR GCSE Computer Science. Work through each type methodically before the exam.

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What this covers

Binary to denary: 8-bit conversion practice
Denary to binary: column method practice
Binary addition with carry
Identifying overflow errors
Hexadecimal to binary and back

How to use this worksheet

Work through each section in order. Do not check the answers until you have attempted every question in that section. The method matters more than the final answer.

Build the habit, then check speed

The column method for binary conversion should become automatic. Write the columns first every time โ€” even when you think you know the answer. Skipping steps causes errors under exam pressure.

Where marks are lost

Most marks are lost not from wrong answers but from wrong method โ€” missing column headings, leaving columns blank, or not showing carry digits in addition. The examiner marks your working.

Section 1: Binary to denary

Write out column values (128 64 32 16 8 4 2 1) for each question. Circle the 1s and add them up.

QuestionBinary numberYour answer
Q101001010
Q210110001
Q311111111
Q400101101
Q510000001
Q611010110

Answers

Q1=74 ยท Q2=177 ยท Q3=255 ยท Q4=45 ยท Q5=129 ยท Q6=214

Section 2: Denary to binary

Write column values first. Work left to right. Subtract as you go.

QuestionDenary numberBinary answer
Q147
Q2200
Q3128
Q493
Q5255
Q633

Answers

Q1=00101111 ยท Q2=11001000 ยท Q3=10000000 ยท Q4=01011101 ยท Q5=11111111 ยท Q6=00100001

Section 3: Binary addition

Work right to left. Carry 1 into the next column when a sum exceeds 1. Show your carry digits.

QuestionFirst numberSecond numberResult
Q10011001100010101
Q20110110000100100
Q31011000100001111
Q41111000000010000

Answers + overflow

Q1=01001000 ยท Q2=10010000 ยท Q3=11000000 ยท Q4=100000000 (overflow โ€” result needs 9 bits)

Section 4: Hexadecimal

Remember: split binary into groups of 4 from the right. Convert each group independently.

QuestionBinaryHex
Q110101010
Q211001100
Q311111111
Q401011010
QuestionHexBinary
Q5A3
Q6FF
Q72B
Q85C

Answers

Binaryโ†’Hex: Q1=AA ยท Q2=CC ยท Q3=FF ยท Q4=5A  |  Hexโ†’Binary: Q5=10100011 ยท Q6=11111111 ยท Q7=00101011 ยท Q8=01011100

Want help working through these methods?

Binary and hex questions are reliable marks in the exam. Miss ICT sessions practise the method until it becomes automatic, so exam pressure does not cause mistakes.

Book a GCSE sessionBinary Explained guide

Frequently asked questions

How many marks are binary questions worth?

Typically 3โ€“6 marks per question. Conversion questions usually award 1 mark per correct step. Showing method even with a wrong final answer can still earn marks.

Should I learn the column values?

128 64 32 16 8 4 2 1 โ€” yes, memorise these. Writing them at the top of every binary question takes 10 seconds and prevents errors.

What is the most common mistake?

Not showing working. Students who write down column values and carry digits almost always get full marks. Students who try to do it in their head often lose marks.

Related resources

Full guide

Binary Explained

Complete step-by-step explanation of binary, hex, and data representation.

Also revise

Algorithms Explained

The other major theory topic for GCSE Computer Science.

Quick reference

GCSE Algorithm Cheat Sheet

Sorting, searching, and pseudocode reference.

Exam prep

GCSE Revision Support

Structured revision sessions for the final weeks before exams.

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