Skip to main content

Analog vs digital signal; convert A2.64H

Short answer

Analog signals are continuous with infinite values, while digital signals are discrete and noise‑immune. Convert A2.64₁₆: write hex digits in 4 bits (A=1010, 2=0010, 6=0110, 4=0100) → 1010 0010.0110 0100, regroup in 3‑bit groups → 242.31₈. Decimal: 10×16¹ + 2×16⁰ + 6×16⁻¹ + 4×16⁻² = 162.390625.

Describe in your own words the characteristics of an analog and a digital signal. Convert A2.64H into its octal and decimal equivalents.

Characteristics of analog and digital signals

Analog signalDigital signal
Continuous in time and amplitudeDiscrete levels (usually 0 and 1)
Infinite possible values in a rangeFinite set of values
Example: sine wave, voiceExample: clock pulses, computer data
Easily affected by noiseHigh noise immunity
Hard to store without lossStored and copied exactly

Convert (A2.64)16(A2.64)_{16} to octal

Write each hex digit in 4 bits:

A=1010, 2=0010, 6=0110, 4=0100A = 1010,\ 2 = 0010,\ 6 = 0110,\ 4 = 0100

(A2.64)16=(1010 0010 . 0110 0100)2(A2.64)_{16} = (1010\ 0010\ .\ 0110\ 0100)_2

Regroup into 3-bit groups from the binary point (left for integer, right for fraction), padding with zeros:

 Integer : 010 100 010   ->  2 4 2
 Fraction: 011 001 000   ->  3 1 0

Answer: (A2.64)16=(242.31)8(A2.64)_{16} = (242.31)_8

Convert (A2.64)16(A2.64)_{16} to decimal

(A2.64)16=10×161+2×160+6×16−1+4×16−2=160+2+0.375+0.015625=162.390625\begin{aligned} (A2.64)_{16} &= 10\times16^1 + 2\times16^0 + 6\times16^{-1} + 4\times16^{-2} \\ &= 160 + 2 + 0.375 + 0.015625 \\ &= 162.390625 \end{aligned}

Check from octal: 2×64+4×8+2+3/8+1/64=162.3906252\times64 + 4\times8 + 2 + 3/8 + 1/64 = 162.390625.

Answer: (A2.64)16=(162.390625)10(A2.64)_{16} = (162.390625)_{10}

✓ Answer checked by Claude Opus 5.5 (high effort)

Related questions

All Digital Logic chapter 1 questions →