Category: Maximum 4-bit Unsigned

What is the largest decimal number that can be represented by an unsigned 4-bit binary number? Your answer must only contain decimal digits.

Question

Category: Maximum 4-bit Unsigned

What is the largest decimal number that can be represented by an unsigned 4-bit binary number? Your answer must only contain decimal digits.

BlackTom AI · Accepted Answer

This question asks for the largest decimal value that can be represented by an unsigned 4-bit binary number.
First, recall that for an unsigned binary number with n bits, the value ranges from 0 up to 2^n - 1.
Here, n = 4, so the maximum value is 2^4 - 1 = 16 - 1 = 15.
Conceptually, a 4-bit unsigned number can enumerate all combinations from 0000 (0) to 1111 (15), with 1111 being the highest binary pattern.
Since no multiple-choice options are provided in this case, we focus on the underlying principle: the limit is dictated by the 4-bit width and the unsigned interpretation, which together yield a maximum of 15.
If you were to question why it cannot be 16 or more, notice that 16 requires five bits in binary (10000), which exceeds the available bit width for an unsigned 4-bit representation.

4520_COMP_SCI_X_0005 Practice Exam

Category: Maximum 4-bit Unsigned What is the largest decimal number that can be represented by an unsigned 4-bit binary number? Your answer must only contain decimal digits.

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