Converting Decimal to Binary Numbers Worksheet | Base 10 Place Value | Math

A worksheet on converting decimal numbers to binary using tables. Detailed solutions are included.
This decimal to binary maths worksheet is a no-prep activity testing base-2 indices and positional notation. Ideal for Key Stage 3 and Key Stage 4.

Help your students master alternative number systems and reverse place-value logic with this ready-to-use decimal to binary conversion worksheet!

What is the Decimal to Binary Conversion Process?
Converting a standard denary/decimal number (base-10) into a binary number (base-2) requires students to work backwards through positional place values. Students must find the largest power of 2 that is less than or equal to the target decimal number, subtract it, and repeat the process with the remainder.
By checking off which slots are active (1) or inactive (0) on a base-2 grid, students apply deep problem-solving skills, division/subtraction logic, and fluency with indices. This worksheet is designed to strengthen secondary math skills by challenging learners to see how a number is constructed outside of our standard base-10 system.

What is Included in this Pack?
• 14 Sequenced Practice Tasks: Problems scale progressively from simple single-digit numbers (like 4 and 5) up to comprehensive three-digit integers (like 276) to allow for clear classroom differentiation.
• Structured Working Grids: Every single question features a built-in place value table showing powers of two (from 2^0 up to 2^8, or 1 to 256) so students can cleanly tick or map out their digits without layout confusion.
• Full Step-by-Step Solutions: A complete teacher answer key is included, detailing the exact addition equations used to arrive at the final binary value.

Crriculum & Key Stage Alignment
This resource serves as an excellent extension task, maths mastery challenge, or independent homework activity for secondary school learners:
• Key Stage 3 (KS3): Ideal for reinforcing index notation, evaluating powers of 2, and deepening structural place-value comprehension.
• Key Stage 4 (KS4) / GCSE Maths: Perfect for logic puzzle intervals, algorithmic thinking practice, or cross-curricular numeracy context.