Module 1
Decimal → binary
Prerequisites: Non-negative decimal integers
What you will learn: Convert a decimal integer to base 2 using successive divisions.
Learning paths · Number systems
From base conversions to binary arithmetic, two's complement, signed/unsigned values, overflow and IEEE 754 representation.
It is ready and unlocks 1 more skill in the learning path.
Start module →The map shows prerequisites, mastered skills and the next step in this learning path.
Prerequisites: Non-negative decimal integers
What you will learn: Convert a decimal integer to base 2 using successive divisions.
Prerequisites: Decimal → binary
What you will learn: Use powers of 2 to reconstruct the decimal value.
Prerequisites: Base conversions
What you will learn: Convert to base 16 and use digits A–F correctly.
Prerequisites: Decimal → hexadecimal
What you will learn: Use powers of 16 to reconstruct the decimal value.
Prerequisites: Binary and hexadecimal
What you will learn: Convert directly between the two bases using groups of 4 bits.
Prerequisites: Binary representation and place value
What you will learn: Perform binary addition column by column while managing carries.
Prerequisites: Binary addition
What you will learn: Perform binary subtraction using borrows.
Prerequisites: Binary addition and subtraction
What you will learn: Represent negative signed integers at a fixed bit width.
Prerequisites: Two's complement and binary addition
What you will learn: Transform subtraction into addition using two's complement.
Prerequisites: Two's complement and binary addition
What you will learn: Interpret the same bits as signed or unsigned and recognize overflow and wrapping.
Prerequisites: Binary conversions, signed values and exponents
What you will learn: Build the 32 single-precision bits: sign, biased exponent and fraction.
Prerequisites: IEEE 754 encoding and binary → decimal conversion
What you will learn: Reconstruct the decimal value from the S, E and F fields.
Prerequisites: IEEE 754 encoding and decoding
What you will learn: Understand rounding, exact values and the spacing between consecutive floats.
Prerequisites: All core competencies in the learning path
What you will learn: Combine conversions, operations, signed integers and floating point in a mixed assessment.
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