The problem consists of several questions related to digital graphics. I am asked to calculate the number of colors in an image, given the number of bits per pixel.

Applied MathematicsImage ProcessingBitwise OperationsExponents
2025/7/6

1. Problem Description

The problem consists of several questions related to digital graphics. I am asked to calculate the number of colors in an image, given the number of bits per pixel.

2. Solution Steps

The question asks for the number of colors if a pixel has 6 bits.
The number of colors is calculated by 2n2^n, where nn is the number of bits. In this case, n=6n = 6.
Therefore, the number of colors is 26=642^6 = 64.

3. Final Answer

The number of colors used in the image is 64.

Related problems in "Applied Mathematics"

The problem asks to find the next time after 12:00 when the minute and hour hands of a clock overlap...

Clock ProblemRotational MotionAngular SpeedTime CalculationWord Problem
2025/7/27

The problem presents a flowchart that evaluates a student's answers to 40 questions. The task is to...

Flowchart AnalysisAlgorithm DesignConditional StatementsLoopsPseudocode
2025/7/27

The problem is to analyze a flowchart representing a computer program that checks multiple-choice an...

Flowchart AnalysisAlgorithm AnalysisComputer ProgrammingVariablesConditional Statements
2025/7/27

We need to calculate the Yield to Maturity (YTM) of a bond given the following information: Face Val...

FinanceBond ValuationYield to Maturity (YTM)Financial ModelingApproximation
2025/7/26

We are given a simply supported beam AB of length $L$, carrying a point load $W$ at a distance $a$ f...

Structural MechanicsBeam TheoryStrain EnergyDeflectionCastigliano's TheoremIntegration
2025/7/26

The problem asks us to determine the degree of static indeterminacy of a rigid plane frame. We need ...

Structural AnalysisStaticsIndeterminacyPlane Frame
2025/7/26

The problem asks to determine the stiffness component and find the internal stresses of a given fram...

Structural AnalysisStiffness MethodFinite Element AnalysisBending MomentShear ForceStress CalculationEngineering Mechanics
2025/7/26

The problem asks us to show that the element stiffness matrix for a pin-jointed structure is given b...

Structural MechanicsFinite Element AnalysisStiffness MatrixLinear AlgebraEngineering
2025/7/26

The problem asks to determine the stiffness component and find the internal stresses of a given fram...

Structural AnalysisStiffness MethodFinite Element AnalysisFrame AnalysisStress CalculationEngineering Mechanics
2025/7/26

The problem asks to determine the stiffness component and find the internal stresses of a given fram...

Structural AnalysisStiffness MethodFinite Element AnalysisFrame AnalysisStress CalculationEngineering Mechanics
2025/7/26